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1034129304 = 23321310110939
BaseRepresentation
bin111101101000111…
…000111110011000
32200001220012201100
4331220320332120
54104214114204
6250340551400
734424645145
oct7550707630
92601805640
101034129304
1149081471a
1224a3b2560
13136329840
149b4b33cc
1560bc3a39
hex3da38f98

1034129304 has 96 divisors (see below), whose sum is σ = 3046352400. Its totient is φ = 315014400.

The previous prime is 1034129267. The next prime is 1034129309. The reversal of 1034129304 is 4039214301.

1034129304 is a `hidden beast` number, since 10 + 341 + 2 + 9 + 304 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034129309) by changing a digit.

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, 89067 + ... + 100005.

Almost surely, 21034129304 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 1034129304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523176200).

1034129304 is an abundant number, since it is smaller than the sum of its proper divisors (2012223096).

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

1034129304 is a wasteful number, since it uses less digits than its factorization.

1034129304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11065 (or 11058 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1034129304 is about 32157.8809003330. The cubic root of 1034129304 is about 1011.2494108866.

The spelling of 1034129304 in words is "one billion, thirty-four million, one hundred twenty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 101 104 117 156 202 234 303 312 404 468 606 808 909 936 1212 1313 1818 2424 2626 3636 3939 5252 7272 7878 10504 10939 11817 15756 21878 23634 31512 32817 43756 47268 65634 87512 94536 98451 131268 142207 196902 262536 284414 393804 426621 568828 787608 853242 1104839 1137656 1279863 1706484 2209678 2559726 3314517 3412968 4419356 5119452 6629034 8838712 9943551 10238904 13258068 14362907 19887102 26516136 28725814 39774204 43088721 57451628 79548408 86177442 114903256 129266163 172354884 258532326 344709768 517064652 1034129304