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10345321340 = 2252347210181
BaseRepresentation
bin10011010001010000…
…10001001101111100
3222200222112202221122
421220220101031330
5132141400240330
64430320050112
7514236531464
oct115050211574
928628482848
1010345321340
114429734052
122008763938
13c8b3c5c23
14701d72ba4
154083705e5
hex268a1137c

10345321340 has 72 divisors (see below), whose sum is σ = 23164620192. Its totient is φ = 3873612160.

The previous prime is 10345321303. The next prime is 10345321361. The reversal of 10345321340 is 4312354301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1011050 + ... + 1021230.

It is an arithmetic number, because the mean of its divisors is an integer number (321730836).

Almost surely, 210345321340 is an apocalyptic number.

10345321340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10345321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582310096).

10345321340 is an abundant number, since it is smaller than the sum of its proper divisors (12819298852).

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

10345321340 is a wasteful number, since it uses less digits than its factorization.

10345321340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10307 (or 10258 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 10345321340 its reverse (4312354301), we get a palindrome (14657675641).

The spelling of 10345321340 in words is "ten billion, three hundred forty-five million, three hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 460 470 940 1081 2162 2209 4324 4418 5405 8836 10181 10810 11045 20362 21620 22090 40724 44180 50807 50905 101614 101810 203228 203620 234163 254035 468326 478507 508070 936652 957014 1016140 1170815 1914028 2341630 2392535 4683260 4785070 9570140 11005661 22011322 22489829 44022644 44979658 55028305 89959316 110056610 112449145 220113220 224898290 449796580 517266067 1034532134 2069064268 2586330335 5172660670 10345321340