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1832278968 = 2334131991093
BaseRepresentation
bin110110100110110…
…0101101110111000
311201200202102020000
41231031211232320
512223030411333
6501452033000
763256054122
oct15515455670
94650672200
101832278968
11860301343
12431762760
132327b2450
141354ba212
15aacd2713
hex6d365bb8

1832278968 has 160 divisors (see below), whose sum is σ = 5559708000. Its totient is φ = 560431872.

The previous prime is 1832278951. The next prime is 1832278979. The reversal of 1832278968 is 8698722381.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1675830 + ... + 1676922.

It is an arithmetic number, because the mean of its divisors is an integer number (34748175).

Almost surely, 21832278968 is an apocalyptic number.

1832278968 is a gapful number since it is divisible by the number (18) 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 1832278968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779854000).

1832278968 is an abundant number, since it is smaller than the sum of its proper divisors (3727429032).

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

1832278968 is a wasteful number, since it uses less digits than its factorization.

1832278968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1310 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 1832278968 is about 42805.1278236615. The cubic root of 1832278968 is about 1223.6687396530.

The spelling of 1832278968 in words is "one billion, eight hundred thirty-two million, two hundred seventy-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 199 216 234 312 324 351 398 468 597 648 702 796 936 1053 1093 1194 1404 1592 1791 2106 2186 2388 2587 2808 3279 3582 4212 4372 4776 5174 5373 6558 7164 7761 8424 8744 9837 10348 10746 13116 14209 14328 15522 16119 19674 20696 21492 23283 26232 28418 29511 31044 32238 39348 42627 42984 46566 56836 59022 62088 64476 69849 78696 85254 88533 93132 113672 118044 127881 128952 139698 170508 177066 186264 209547 217507 236088 255762 279396 341016 354132 383643 419094 435014 511524 558792 652521 708264 767286 838188 870028 1023048 1150929 1305042 1534572 1676376 1740056 1957563 2301858 2610084 2827591 3069144 3915126 4603716 5220168 5655182 5872689 7830252 8482773 9207432 11310364 11745378 15660504 16965546 17618067 22620728 23490756 25448319 33931092 35236134 46981512 50896638 67862184 70472268 76344957 101793276 140944536 152689914 203586552 229034871 305379828 458069742 610759656 916139484 1832278968