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100344096 = 253438713
BaseRepresentation
bin1011111101100…
…10000100100000
320222211000020000
411332302010200
5201142002341
613542420000
72325624246
oct576620440
9228730200
10100344096
1151707006
1229731600
1317a34308
14d480796
158c218b6
hex5fb2120

100344096 has 60 divisors (see below), whose sum is σ = 295116822. Its totient is φ = 33447168.

The previous prime is 100344067. The next prime is 100344103. The reversal of 100344096 is 690443001.

It can be written as a sum of positive squares in only one way, i.e., 71571600 + 28772496 = 8460^2 + 5364^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16765 + ... + 21948.

Almost surely, 2100344096 is an apocalyptic number.

100344096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100344096 is an abundant number, since it is smaller than the sum of its proper divisors (194772726).

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

100344096 is an equidigital number, since it uses as much as digits as its factorization.

100344096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38735 (or 38718 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 100344096 is about 10017.1900251518. The cubic root of 100344096 is about 464.6906579390.

Adding to 100344096 its reverse (690443001), we get a palindrome (790787097).

The spelling of 100344096 in words is "one hundred million, three hundred forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 38713 77426 116139 154852 232278 309704 348417 464556 619408 696834 929112 1045251 1238816 1393668 1858224 2090502 2787336 3135753 3716448 4181004 5574672 6271506 8362008 11149344 12543012 16724016 25086024 33448032 50172048 100344096