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380327948 = 227111343472
BaseRepresentation
bin10110101010110…
…101100000001100
3222111122122212022
4112222311200030
51234330443243
6101423425312
712265506560
oct2652654014
9874578768
10380327948
1118575a020
12a7455238
1360a44530
14387236a0
15235c9b68
hex16ab580c

380327948 has 144 divisors (see below), whose sum is σ = 934289664. Its totient is φ = 130757760.

The previous prime is 380327939. The next prime is 380327989. The reversal of 380327948 is 849723083.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 380327899 and 380327908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8092061 + ... + 8092107.

Almost surely, 2380327948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380327948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467144832).

380327948 is an abundant number, since it is smaller than the sum of its proper divisors (553961716).

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

380327948 is a wasteful number, since it uses less digits than its factorization.

380327948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 380327948 is about 19501.9985642498. The cubic root of 380327948 is about 724.5239509813.

The spelling of 380327948 in words is "three hundred eighty million, three hundred twenty-seven thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 43 44 47 52 77 86 91 94 143 154 172 182 188 286 301 308 329 364 473 517 559 572 602 611 658 946 1001 1034 1118 1204 1222 1316 1892 2002 2021 2068 2209 2236 2444 3311 3619 3913 4004 4042 4277 4418 6149 6622 6721 7238 7826 8084 8554 8836 12298 13244 13442 14147 14476 15463 15652 17108 22231 24299 24596 26273 26884 28294 28717 30926 43043 44462 47047 48598 52546 56588 57434 61852 86086 88924 94094 94987 97196 105092 114868 155617 170093 172172 183911 188188 189974 201019 289003 311234 315887 340186 367822 379948 402038 578006 622468 631774 664909 680372 735644 804076 1044857 1156012 1234831 1263548 1329818 2023021 2089714 2211209 2469662 2659636 4046042 4179428 4422418 4939324 7313999 8092084 8643817 8844836 13583141 14627998 17287634 27166282 29255996 34575268 54332564 95081987 190163974 380327948