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129229344 = 253516619
BaseRepresentation
bin1111011001111…
…10001000100000
3100000011112100000
413230332020200
5231040314334
620453500000
73126300636
oct754761040
9300145300
10129229344
1166a45a12
1237341600
1320a08a8a
141323d356
15b52a299
hex7b3e220

129229344 has 72 divisors (see below), whose sum is σ = 381129840. Its totient is φ = 43073856.

The previous prime is 129229343. The next prime is 129229363. The reversal of 129229344 is 443922921.

129229344 is a `hidden beast` number, since 1 + 292 + 29 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 129229299 and 129229308.

It is not an unprimeable number, because it can be changed into a prime (129229343) 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 11 ways as a sum of consecutive naturals, for example, 534 + ... + 16085.

It is an arithmetic number, because the mean of its divisors is an integer number (5293470).

Almost surely, 2129229344 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 129229344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190564920).

129229344 is an abundant number, since it is smaller than the sum of its proper divisors (251900496).

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

129229344 is an equidigital number, since it uses as much as digits as its factorization.

129229344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16644 (or 16624 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 129229344 is about 11367.9085147621. The cubic root of 129229344 is about 505.5766950349.

The spelling of 129229344 in words is "one hundred twenty-nine million, two hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 16619 33238 49857 66476 99714 132952 149571 199428 265904 299142 398856 448713 531808 598284 797712 897426 1196568 1346139 1595424 1794852 2393136 2692278 3589704 4038417 4786272 5384556 7179408 8076834 10769112 14358816 16153668 21538224 32307336 43076448 64614672 129229344