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834433704 = 2333132910247
BaseRepresentation
bin110001101111000…
…111001010101000
32011011010121212000
4301233013022220
53202103334304
6214444451000
726451366216
oct6157071250
92134117760
10834433704
1139901a435
121b3549a60
13103b4ac70
147cb6dcb6
154d3c9939
hex31bc72a8

834433704 has 128 divisors (see below), whose sum is σ = 2582496000. Its totient is φ = 247871232.

The previous prime is 834433693. The next prime is 834433751. The reversal of 834433704 is 407334438.

It is a happy number.

834433704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76309 + ... + 86555.

It is an arithmetic number, because the mean of its divisors is an integer number (20175750).

Almost surely, 2834433704 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 834433704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291248000).

834433704 is an abundant number, since it is smaller than the sum of its proper divisors (1748062296).

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

834433704 is a wasteful number, since it uses less digits than its factorization.

834433704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10304 (or 10294 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 834433704 is about 28886.5661510675. The cubic root of 834433704 is about 941.4500420843.

The spelling of 834433704 in words is "eight hundred thirty-four million, four hundred thirty-three thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 29 36 39 52 54 58 72 78 87 104 108 116 117 156 174 216 232 234 261 312 348 351 377 468 522 696 702 754 783 936 1044 1131 1404 1508 1566 2088 2262 2808 3016 3132 3393 4524 6264 6786 9048 10179 10247 13572 20358 20494 27144 30741 40716 40988 61482 81432 81976 92223 122964 133211 184446 245928 266422 276669 297163 368892 399633 532844 553338 594326 737784 799266 891489 1065688 1106676 1188652 1198899 1598532 1782978 2213352 2377304 2397798 2674467 3197064 3565956 3596697 3863119 4795596 5348934 7131912 7193394 7726238 8023401 9591192 10697868 11589357 14386788 15452476 16046802 21395736 23178714 28773576 30904952 32093604 34768071 46357428 64187208 69536142 92714856 104304213 139072284 208608426 278144568 417216852 834433704