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10734468 = 2231923289
BaseRepresentation
bin101000111100…
…101110000100
3202012100220220
4220330232010
510222000333
61022024340
7160145553
oct50745604
922170826
1010734468
116071a68
1237180b0
1322bac74
1415d5d9a
15e208b3
hexa3cb84

10734468 has 72 divisors (see below), whose sum is σ = 27871200. Its totient is φ = 3206016.

The previous prime is 10734457. The next prime is 10734499. The reversal of 10734468 is 86443701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120568 + ... + 120656.

It is an arithmetic number, because the mean of its divisors is an integer number (387100).

Almost surely, 210734468 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 10734468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13935600).

10734468 is an abundant number, since it is smaller than the sum of its proper divisors (17136732).

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

10734468 is a wasteful number, since it uses less digits than its factorization.

10734468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 10734468 is about 3276.3497981748. The cubic root of 10734468 is about 220.5939049126.

The spelling of 10734468 in words is "ten million, seven hundred thirty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 89 92 114 138 178 228 267 276 356 437 529 534 874 1058 1068 1311 1587 1691 1748 2047 2116 2622 3174 3382 4094 5073 5244 6141 6348 6764 8188 10051 10146 12282 20102 20292 24564 30153 38893 40204 47081 60306 77786 94162 116679 120612 141243 155572 188324 233358 282486 466716 564972 894539 1789078 2683617 3578156 5367234 10734468