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3400431012 = 22321147182701
BaseRepresentation
bin1100101010101110…
…0111010110100100
322202222111210102100
43022223213112210
523431002243022
61321231012100
7150160121016
oct31253472644
98688453370
103400431012
111495500170
127aa96a030
13422647074
142438801b6
1514d7e01ac
hexcaae75a4

3400431012 has 72 divisors (see below), whose sum is σ = 9576508032. Its totient is φ = 1008504000.

The previous prime is 3400430983. The next prime is 3400431029. The reversal of 3400431012 is 2101340043.

3400431012 is a `hidden beast` number, since 340 + 0 + 4 + 310 + 12 = 666.

It is a super-3 number, since 3×34004310123 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72739 + ... + 109962.

It is an arithmetic number, because the mean of its divisors is an integer number (133007056).

Almost surely, 23400431012 is an apocalyptic number.

It is an amenable number.

3400431012 is an abundant number, since it is smaller than the sum of its proper divisors (6176077020).

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

3400431012 is a wasteful number, since it uses less digits than its factorization.

3400431012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182769 (or 182764 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3400431012 is about 58313.2147287388. The cubic root of 3400431012 is about 1503.7581337570.

Adding to 3400431012 its reverse (2101340043), we get a palindrome (5501771055).

The spelling of 3400431012 in words is "three billion, four hundred million, four hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 564 846 1034 1551 1692 2068 3102 4653 6204 9306 18612 182701 365402 548103 730804 1096206 1644309 2009711 2192412 3288618 4019422 6029133 6577236 8038844 8586947 12058266 17173894 18087399 24116532 25760841 34347788 36174798 51521682 72349596 77282523 94456417 103043364 154565046 188912834 283369251 309130092 377825668 566738502 850107753 1133477004 1700215506 3400431012