Search a number
-
+
2934752392 = 2311213317523
BaseRepresentation
bin1010111011101100…
…1100010010001000
321120112020212110001
42232323030102020
522002244034032
61203113532344
7132503661265
oct25673142210
97515225401
102934752392
111276655a00
1269aa140b4
1337a01aba0
141dbaa026c
151229a63e7
hexaeecc488

2934752392 has 96 divisors (see below), whose sum is σ = 6724650240. Its totient is φ = 1191484800.

The previous prime is 2934752377. The next prime is 2934752417. The reversal of 2934752392 is 2932574392.

It is a super-2 number, since 2×29347523922 = 17225543204699443328, which contains 22 as substring.

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, 386343 + ... + 393865.

It is an arithmetic number, because the mean of its divisors is an integer number (70048440).

Almost surely, 22934752392 is an apocalyptic number.

2934752392 is a gapful number since it is divisible by the number (22) 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 2934752392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362325120).

2934752392 is an abundant number, since it is smaller than the sum of its proper divisors (3789897848).

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

2934752392 is a wasteful number, since it uses less digits than its factorization.

2934752392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7595 (or 7580 counting only the distinct ones).

The product of its digits is 816480, while the sum is 46.

The square root of 2934752392 is about 54173.3550004059. The cubic root of 2934752392 is about 1431.7169121443.

The spelling of 2934752392 in words is "two billion, nine hundred thirty-four million, seven hundred fifty-two thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 121 124 143 242 248 286 341 403 484 572 682 806 968 1144 1364 1573 1612 2728 3146 3224 3751 4433 6292 7502 7523 8866 12584 15004 15046 17732 30008 30092 35464 48763 60184 82753 97526 97799 165506 195052 195598 233213 331012 390104 391196 466426 662024 782392 910283 932852 1075789 1820566 1865704 2151578 2565343 3031769 3641132 4303156 5130686 6063538 7282264 8606312 10261372 11833679 12127076 20522744 23667358 24254152 28218773 33349459 47334716 56437546 66698918 94669432 112875092 133397836 225750184 266795672 366844049 733688098 1467376196 2934752392