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10344073400 = 235264180687
BaseRepresentation
bin10011010001000111…
…00000100010111000
3222200220012101002122
421220203200202320
5132141040322100
64430233220412
7514223113253
oct115043404270
928626171078
1010344073400
114428a614a1
122008261708
13c8b079bbb
14701b2a09a
154081c5985
hex2688e08b8

10344073400 has 48 divisors (see below), whose sum is σ = 24087788640. Its totient is φ = 4131123200.

The previous prime is 10344073367. The next prime is 10344073417. The reversal of 10344073400 is 437044301.

It is a self number, because there is not a number n which added to its sum of digits gives 10344073400.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 87857 + ... + 168543.

It is an arithmetic number, because the mean of its divisors is an integer number (501828930).

Almost surely, 210344073400 is an apocalyptic number.

10344073400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344073400 is an abundant number, since it is smaller than the sum of its proper divisors (13743715240).

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

10344073400 is a wasteful number, since it uses less digits than its factorization.

10344073400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81344 (or 81335 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The spelling of 10344073400 in words is "ten billion, three hundred forty-four million, seventy-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 641 1282 2564 3205 5128 6410 12820 16025 25640 32050 64100 80687 128200 161374 322748 403435 645496 806870 1613740 2017175 3227480 4034350 8068700 16137400 51720367 103440734 206881468 258601835 413762936 517203670 1034407340 1293009175 2068814680 2586018350 5172036700 10344073400