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10093344 = 253472237
BaseRepresentation
bin100110100000…
…001100100000
3200222210110120
4212200030200
510040441334
61000200240
7151535442
oct46401440
920883416
1010093344
115774308
123469080
1321251c1
1414aa492
15d45949
hex9a0320

10093344 has 48 divisors (see below), whose sum is σ = 27070848. Its totient is φ = 3291392.

The previous prime is 10093331. The next prime is 10093357. The reversal of 10093344 is 44339001.

It is an interprime number because it is at equal distance from previous prime (10093331) and next prime (10093357).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3394 + ... + 5630.

It is an arithmetic number, because the mean of its divisors is an integer number (563976).

Almost surely, 210093344 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 10093344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13535424).

10093344 is an abundant number, since it is smaller than the sum of its proper divisors (16977504).

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

10093344 is a wasteful number, since it uses less digits than its factorization.

10093344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 10093344 is about 3177.0023607168. The cubic root of 10093344 is about 216.1117391683. Note that the first 3 decimals are identical.

The spelling of 10093344 in words is "ten million, ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2237 2256 4474 4512 6711 8948 13422 17896 26844 35792 53688 71584 105139 107376 210278 214752 315417 420556 630834 841112 1261668 1682224 2523336 3364448 5046672 10093344