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100441344 = 283130783
BaseRepresentation
bin1011111110010…
…01110100000000
320222222221121210
411333021310000
5201203110334
613544450120
72326510623
oct577116400
9228887553
10100441344
1151773083
1229779940
1317a69663
14d4a7dba
158c405e9
hex5fc9d00

100441344 has 36 divisors (see below), whose sum is σ = 267322496. Its totient is φ = 33480192.

The previous prime is 100441343. The next prime is 100441373. The reversal of 100441344 is 443144001.

It is a self number, because there is not a number n which added to its sum of digits gives 100441344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100441343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64624 + ... + 66159.

Almost surely, 2100441344 is an apocalyptic number.

It is an amenable number.

100441344 is an abundant number, since it is smaller than the sum of its proper divisors (166881152).

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

100441344 is an equidigital number, since it uses as much as digits as its factorization.

100441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130802 (or 130788 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 100441344 is about 10022.0429055158. The cubic root of 100441344 is about 464.8407270449.

Adding to 100441344 its reverse (443144001), we get a palindrome (543585345).

The spelling of 100441344 in words is "one hundred million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 130783 261566 392349 523132 784698 1046264 1569396 2092528 3138792 4185056 6277584 8370112 12555168 16740224 25110336 33480448 50220672 100441344