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10342314320 = 24513233371283
BaseRepresentation
bin10011010000111001…
…10011000101010000
3222200202220000002112
421220130303011100
5132140113024240
64430131404452
7514202135612
oct115034630520
928622800075
1010342314320
114427a6a908
122007753728
13c8a8b2320
147017ccdb2
15407e79665
hex268733150

10342314320 has 160 divisors (see below), whose sum is σ = 27122764032. Its totient is φ = 3638992896.

The previous prime is 10342314319. The next prime is 10342314379. The reversal of 10342314320 is 2341324301.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8060399 + ... + 8061681.

Almost surely, 210342314320 is an apocalyptic number.

10342314320 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 10342314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561382016).

10342314320 is an abundant number, since it is smaller than the sum of its proper divisors (16780449712).

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

10342314320 is a wasteful number, since it uses less digits than its factorization.

10342314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10342314320 its reverse (2341324301), we get a palindrome (12683638621).

The spelling of 10342314320 in words is "ten billion, three hundred forty-two million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 337 368 460 520 598 674 920 1040 1196 1283 1348 1495 1685 1840 2392 2566 2696 2990 3370 4381 4784 5132 5392 5980 6415 6740 7751 8762 10264 11960 12830 13480 15502 16679 17524 20528 21905 23920 25660 26960 29509 31004 33358 35048 38755 43810 51320 59018 62008 66716 70096 77510 83395 87620 100763 102640 118036 124016 133432 147545 155020 166790 175240 201526 236072 266864 295090 310040 333580 350480 383617 403052 432371 472144 503815 590180 620080 667160 767234 806104 864742 1007630 1180360 1334320 1534468 1612208 1729484 1918085 2015260 2161855 2360720 3068936 3458968 3836170 4030520 4323710 5620823 6137872 6917936 7672340 8061040 8647420 9944533 11241646 15344680 17294840 19889066 22483292 28104115 30689360 34589680 39778132 44966584 49722665 56208230 79556264 89933168 99445330 112416460 129278929 159112528 198890660 224832920 258557858 397781320 449665840 517115716 646394645 795562640 1034231432 1292789290 2068462864 2585578580 5171157160 10342314320