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129034464 = 25313103393
BaseRepresentation
bin1111011000011…
…10100011100000
322222210122000020
413230032203200
5231013100324
620445353440
73124526526
oct754164340
9288718006
10129034464
1166922559
1237268880
132096b170
14131cc316
15b4dc679
hex7b0e8e0

129034464 has 48 divisors (see below), whose sum is σ = 364774032. Its totient is φ = 39702528.

The previous prime is 129034463. The next prime is 129034487. The reversal of 129034464 is 464430921.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129034463) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 50449 + ... + 52944.

It is an arithmetic number, because the mean of its divisors is an integer number (7599459).

Almost surely, 2129034464 is an apocalyptic number.

It is an amenable number.

129034464 is an abundant number, since it is smaller than the sum of its proper divisors (235739568).

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

129034464 is a wasteful number, since it uses less digits than its factorization.

129034464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103419 (or 103411 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 129034464 is about 11359.3337832815. Note that the first 3 decimals coincide. The cubic root of 129034464 is about 505.3224278241.

The spelling of 129034464 in words is "one hundred twenty-nine million, thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 103393 206786 310179 413572 620358 827144 1240716 1344109 1654288 2481432 2688218 3308576 4032327 4962864 5376436 8064654 9925728 10752872 16129308 21505744 32258616 43011488 64517232 129034464