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34931430 = 232517379
BaseRepresentation
bin1000010101000…
…0001011100110
32102201200220200
42011100023212
532420301210
63244411330
7602624622
oct205201346
972650820
1034931430
1118799556
12b846b46
1373107b1
1448d4182
1531000c0
hex21502e6

34931430 has 96 divisors (see below), whose sum is σ = 97718400. Its totient is φ = 8656128.

The previous prime is 34931383. The next prime is 34931453. The reversal of 34931430 is 3413943.

34931430 is a `hidden beast` number, since 349 + 314 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34931394 and 34931403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442131 + ... + 442209.

It is an arithmetic number, because the mean of its divisors is an integer number (1017900).

Almost surely, 234931430 is an apocalyptic number.

34931430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34931430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48859200).

34931430 is an abundant number, since it is smaller than the sum of its proper divisors (62786970).

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

34931430 is a wasteful number, since it uses less digits than its factorization.

34931430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 34931430 is about 5910.2817191738. The cubic root of 34931430 is about 326.8928751587.

The spelling of 34931430 in words is "thirty-four million, nine hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 79 85 90 102 153 158 170 237 255 289 306 395 474 510 578 711 765 790 867 1185 1343 1422 1445 1530 1734 2370 2601 2686 2890 3555 4029 4335 4913 5202 6715 7110 8058 8670 9826 12087 13005 13430 14739 20145 22831 24174 24565 26010 29478 40290 44217 45662 49130 60435 68493 73695 88434 114155 120870 136986 147390 205479 221085 228310 342465 388127 410958 442170 684930 776254 1027395 1164381 1940635 2054790 2328762 3493143 3881270 5821905 6986286 11643810 17465715 34931430