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245104704 = 2634133637
BaseRepresentation
bin11101001110000…
…00000001000000
3122002012121110000
432213000001000
51000221322304
640153240000
76034232655
oct1647000100
9562177400
10245104704
1111639a879
126a103000
133ba1a490
14247a3c2c
15167b8939
hexe9c0040

245104704 has 140 divisors (see below), whose sum is σ = 782672044. Its totient is φ = 75396096.

The previous prime is 245104697. The next prime is 245104733. The reversal of 245104704 is 407401542.

It can be written as a sum of positive squares in 2 ways, for example, as 18662400 + 226442304 = 4320^2 + 15048^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65574 + ... + 69210.

Almost surely, 2245104704 is an apocalyptic number.

245104704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245104704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391336022).

245104704 is an abundant number, since it is smaller than the sum of its proper divisors (537567340).

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

245104704 is a wasteful number, since it uses less digits than its factorization.

245104704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 245104704 is about 15655.8201318232. The cubic root of 245104704 is about 625.8216002303.

The spelling of 245104704 in words is "two hundred forty-five million, one hundred four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3637 3744 4212 5184 5616 7274 7488 8424 10911 11232 14548 16848 21822 22464 29096 32733 33696 43644 47281 58192 65466 67392 87288 94562 98199 116384 130932 141843 174576 189124 196398 232768 261864 283686 294597 349152 378248 392796 425529 523728 567372 589194 698304 756496 785592 851058 1047456 1134744 1178388 1276587 1512992 1571184 1702116 2094912 2269488 2356776 2553174 3025984 3142368 3404232 3829761 4538976 4713552 5106348 6284736 6808464 7659522 9077952 9427104 10212696 13616928 15319044 18854208 20425392 27233856 30638088 40850784 61276176 81701568 122552352 245104704