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380050056324 = 223429211812
BaseRepresentation
bin1011000011111001011…
…11111010010010000100
31100022222100020020010000
411201330233322102010
522211320303300244
6450331555401300
736312665114631
oct5417457722204
91308870206100
10380050056324
111371a6392444
12617a5bb3230
1329ab943b643
14145747cb188
159d45269169
hex587cbfa484

380050056324 has 135 divisors (see below), whose sum is σ = 1029838800991. Its totient is φ = 122211391680.

The previous prime is 380050056319. The next prime is 380050056349. The reversal of 380050056324 is 423650050083.

It is a happy number.

The square root of 380050056324 is 616482.

It is a perfect power (a square), and thus also a powerful number.

380050056324 is a `hidden beast` number, since 3 + 80 + 0 + 500 + 56 + 3 + 24 = 666.

380050056324 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 93096993924 + 286953062400 = 305118^2 + 535680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 321803014 + ... + 321804194.

Almost surely, 2380050056324 is an apocalyptic number.

380050056324 is the 616482-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380050056324

380050056324 is an abundant number, since it is smaller than the sum of its proper divisors (649788744667).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

380050056324 is an equidigital number, since it uses as much as digits as its factorization.

380050056324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 380050056324 by its sum of digits (36), we get a square (13681802027664 = 36988922).

380050056324 divided by its sum of digits (36) gives a square (10556946009 = 1027472).

The spelling of 380050056324 in words is "three hundred eighty billion, fifty million, fifty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 841 1044 1181 1566 1682 2349 2362 2523 3132 3364 3543 4698 4724 5046 7086 7569 9396 10092 10629 14172 15138 21258 22707 30276 31887 34249 42516 45414 63774 68121 68498 90828 95661 102747 127548 136242 136996 191322 205494 272484 308241 382644 410988 616482 924723 993221 1232964 1394761 1849446 1986442 2774169 2789522 2979663 3698892 3972884 4184283 5548338 5579044 5959326 8368566 8938989 11096676 11918652 12552849 16737132 17877978 25105698 26816967 35755956 37658547 40448069 50211396 53633934 75317094 80450901 80896138 107267868 112975641 121344207 150634188 160901802 161792276 225951282 242688414 321803604 364032621 451902564 485376828 728065242 1092097863 1172994001 1456130484 2184195726 2345988002 3276293589 3518982003 4368391452 4691976004 6552587178 7037964006 10556946009 13105174356 14075928012 21113892018 31670838027 42227784036 63341676054 95012514081 126683352108 190025028162 380050056324