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131434004 = 221321711437
BaseRepresentation
bin1111101010110…
…00011000010100
3100011022112120002
413311120120110
5232121342004
621013030432
73154112342
oct765303024
9304275502
10131434004
1168211349
1238025418
13212cb400
1413654992
15b81361e
hex7d58614

131434004 has 36 divisors (see below), whose sum is σ = 263737404. Its totient is φ = 57088512.

The previous prime is 131433997. The next prime is 131434019. The reversal of 131434004 is 400434131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 15225604 + 116208400 = 3902^2 + 10780^2 .

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 11 ways as a sum of consecutive naturals, for example, 5774 + ... + 17210.

It is an arithmetic number, because the mean of its divisors is an integer number (7326039).

Almost surely, 2131434004 is an apocalyptic number.

It is an amenable number.

131434004 is an abundant number, since it is smaller than the sum of its proper divisors (132303400).

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

131434004 is a wasteful number, since it uses less digits than its factorization.

131434004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11484 (or 11469 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 131434004 is about 11464.4670177030. The cubic root of 131434004 is about 508.4355544914.

Adding to 131434004 its reverse (400434131), we get a palindrome (531868135).

The spelling of 131434004 in words is "one hundred thirty-one million, four hundred thirty-four thousand, four".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 338 442 676 884 2873 5746 11437 11492 22874 45748 148681 194429 297362 388858 594724 777716 1932853 2527577 3865706 5055154 7731412 10110308 32858501 65717002 131434004