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10344486240 = 2533511217687
BaseRepresentation
bin10011010001001010…
…00101010101100000
3222200220222100102000
421220211011111200
5132141142024430
64430250124000
7514226453004
oct115045052540
928626870360
1010344486240
114429213690
122008420600
13c8b192a9a
14701bd6704
15408257e60
hex268945560

10344486240 has 192 divisors, whose sum is σ = 39497310720. Its totient is φ = 2507742720.

The previous prime is 10344486223. The next prime is 10344486319. The reversal of 10344486240 is 4268444301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10344486195 and 10344486204.

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 31 ways as a sum of consecutive naturals, for example, 61324 + ... + 156363.

It is an arithmetic number, because the mean of its divisors is an integer number (205715160).

Almost surely, 210344486240 is an apocalyptic number.

10344486240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344486240 is an abundant number, since it is smaller than the sum of its proper divisors (29152824480).

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

10344486240 is a wasteful number, since it uses less digits than its factorization.

10344486240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217722 (or 217708 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 10344486240 in words is "ten billion, three hundred forty-four million, four hundred eighty-six thousand, two hundred forty".