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870424704 = 2734372269
BaseRepresentation
bin110011111000011…
…010000010000000
32020122212011020000
4303320122002000
53240312042304
6222212120000
730366326232
oct6370320200
92218764200
10870424704
11407371a66
12203606000
1310b43cb06
148385c252
1551638939
hex33e1a080

870424704 has 160 divisors (see below), whose sum is σ = 2661552300. Its totient is φ = 282175488.

The previous prime is 870424691. The next prime is 870424733. The reversal of 870424704 is 407424078.

It can be written as a sum of positive squares in 2 ways, for example, as 867184704 + 3240000 = 29448^2 + 1800^2 .

It is a super-3 number, since 3×8704247043 (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 382482 + ... + 384750.

Almost surely, 2870424704 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 870424704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330776150).

870424704 is an abundant number, since it is smaller than the sum of its proper divisors (1791127596).

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

870424704 is a wasteful number, since it uses less digits than its factorization.

870424704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 870424704 is about 29502.9609361501. The cubic root of 870424704 is about 954.7955864861.

The spelling of 870424704 in words is "eight hundred seventy million, four hundred twenty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 128 144 148 162 192 216 222 288 296 324 333 384 432 444 576 592 648 666 864 888 999 1152 1184 1296 1332 1728 1776 1998 2269 2368 2592 2664 2997 3456 3552 3996 4538 4736 5184 5328 5994 6807 7104 7992 9076 10368 10656 11988 13614 14208 15984 18152 20421 21312 23976 27228 31968 36304 40842 42624 47952 54456 61263 63936 72608 81684 83953 95904 108912 122526 127872 145216 163368 167906 183789 191808 217824 245052 251859 290432 326736 335812 367578 383616 435648 490104 503718 653472 671624 735156 755577 871296 980208 1007436 1306944 1343248 1470312 1511154 1960416 2014872 2266731 2613888 2686496 2940624 3022308 3920832 4029744 4533462 5372992 5881248 6044616 6800193 7841664 8059488 9066924 10745984 11762496 12089232 13600386 16118976 18133848 23524992 24178464 27200772 32237952 36267696 48356928 54401544 72535392 96713856 108803088 145070784 217606176 290141568 435212352 870424704