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129431344 = 2472198689
BaseRepresentation
bin1111011011011…
…11011100110000
3100000112210102111
413231233130300
5231113300334
620502055104
73131101600
oct755573460
9300483374
10129431344
1167073759
123741a494
1320a799c3
1413292c00
15b56a064
hex7b6f730

129431344 has 60 divisors (see below), whose sum is σ = 307104600. Its totient is φ = 52545024.

The previous prime is 129431339. The next prime is 129431359. The reversal of 129431344 is 443134921.

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 11 ways as a sum of consecutive naturals, for example, 10552 + ... + 19240.

It is an arithmetic number, because the mean of its divisors is an integer number (5118410).

Almost surely, 2129431344 is an apocalyptic number.

129431344 is a gapful number since it is divisible by the number (14) 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 129431344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153552300).

129431344 is an abundant number, since it is smaller than the sum of its proper divisors (177673256).

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

129431344 is a wasteful number, since it uses less digits than its factorization.

129431344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8730 (or 8717 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 129431344 is about 11376.7897053606. The cubic root of 129431344 is about 505.8399823133.

The spelling of 129431344 in words is "one hundred twenty-nine million, four hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 784 931 1064 1862 2128 3724 7448 8689 14896 17378 34756 60823 69512 121646 139024 165091 243292 330182 425761 486584 660364 851522 973168 1155637 1320728 1703044 2311274 2641456 3406088 4622548 6812176 8089459 9245096 16178918 18490192 32357836 64715672 129431344