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1014313432 = 2311172341719
BaseRepresentation
bin111100011101010…
…011000111011000
32121200121110110011
4330131103013120
54034131012212
6244352131304
734064344006
oct7435230730
92550543404
101014313432
1148060a770
12243836b34
131321ac182
14989d5a76
155e0ac4a7
hex3c7531d8

1014313432 has 128 divisors (see below), whose sum is σ = 2351462400. Its totient is φ = 404377600.

The previous prime is 1014313393. The next prime is 1014313453. The reversal of 1014313432 is 2343134101.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 1410369 + ... + 1411087.

It is an arithmetic number, because the mean of its divisors is an integer number (18370800).

Almost surely, 21014313432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014313432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175731200).

1014313432 is an abundant number, since it is smaller than the sum of its proper divisors (1337148968).

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

1014313432 is a wasteful number, since it uses less digits than its factorization.

1014313432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1014313432 is about 31848.2877404736. The cubic root of 1014313432 is about 1004.7485594913.

Adding to 1014313432 its reverse (2343134101), we get a palindrome (3357447533).

The spelling of 1014313432 in words is "one billion, fourteen million, three hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 17 22 23 34 41 44 46 68 82 88 92 136 164 184 187 253 328 374 391 451 506 697 719 748 782 902 943 1012 1394 1438 1496 1564 1804 1886 2024 2788 2876 3128 3608 3772 4301 5576 5752 7544 7667 7909 8602 10373 12223 15334 15818 16031 16537 17204 20746 24446 29479 30668 31636 32062 33074 34408 41492 48892 58958 61336 63272 64124 66148 82984 97784 117916 128248 132296 134453 176341 181907 235832 268906 281129 324269 352682 363814 501143 537812 562258 648538 678017 705364 727628 1002286 1075624 1124516 1297076 1356034 1410728 1455256 2004572 2249032 2594152 2712068 3092419 4009144 5424136 5512573 6184838 7458187 11025146 11526289 12369676 14916374 22050292 23052578 24739352 29832748 44100584 46105156 59665496 92210312 126789179 253578358 507156716 1014313432