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68934432 = 2537195399
BaseRepresentation
bin1000001101111…
…01101100100000
311210201020021010
410012331230200
5120121400212
610501300520
71464635010
oct406755440
9153636233
1068934432
1135a03506
121b104740
1311387808
149225c40
1560ba03c
hex41bdb20

68934432 has 96 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 18655488.

The previous prime is 68934401. The next prime is 68934449. The reversal of 68934432 is 23443986.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10069 + ... + 15467.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 268934432 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 68934432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

68934432 is an abundant number, since it is smaller than the sum of its proper divisors (148793568).

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

68934432 is a wasteful number, since it uses less digits than its factorization.

68934432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5438 (or 5430 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 68934432 is about 8302.6761950590. The cubic root of 68934432 is about 410.0266332094.

It can be divided in two parts, 6893 and 4432, that added together give a triangular number (11325 = T150).

The spelling of 68934432 in words is "sixty-eight million, nine hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 5399 6384 10798 12768 16197 21596 32394 37793 43192 64788 75586 86384 102581 113379 129576 151172 172768 205162 226758 259152 302344 307743 410324 453516 518304 604688 615486 718067 820648 907032 1209376 1230972 1436134 1641296 1814064 2154201 2461944 2872268 3282592 3628128 4308402 4923888 5744536 8616804 9847776 11489072 17233608 22978144 34467216 68934432