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10067344 = 247212841
BaseRepresentation
bin100110011001…
…110110010000
3200221110210121
4212121312100
510034123334
6555440024
7151366600
oct46316620
920843717
1010067344
115756821
123456014
132116411
1414a0c00
15d3cdb4
hex999d90

10067344 has 30 divisors (see below), whose sum is σ = 22691814. Its totient is φ = 4314240.

The previous prime is 10067329. The next prime is 10067363. The reversal of 10067344 is 44376001.

It can be written as a sum of positive squares in only one way, i.e., 8479744 + 1587600 = 2912^2 + 1260^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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 5 ways as a sum of consecutive naturals, for example, 5637 + ... + 7204.

Almost surely, 210067344 is an apocalyptic number.

10067344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10067344 is an abundant number, since it is smaller than the sum of its proper divisors (12624470).

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

10067344 is a wasteful number, since it uses less digits than its factorization.

10067344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12863 (or 12850 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 10067344 is about 3172.9078146079. The cubic root of 10067344 is about 215.9260148990.

The spelling of 10067344 in words is "ten million, sixty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 12841 25682 51364 89887 102728 179774 205456 359548 629209 719096 1258418 1438192 2516836 5033672 10067344