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2734388928 = 2634618647
BaseRepresentation
bin1010001011111011…
…0111011011000000
321001120020100110000
42202332313123000
521100000421203
61131155240000
7124521631245
oct24276673300
97046210400
102734388928
111183544967
126438a9000
1334766731b
141bd2255cc
151100c94a3
hexa2fb76c0

2734388928 has 140 divisors (see below), whose sum is σ = 8239416592. Its totient is φ = 896417280.

The previous prime is 2734388893. The next prime is 2734388929. The reversal of 2734388928 is 8298834372.

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

It is not an unprimeable number, because it can be changed into a prime (2734388929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 311901 + ... + 320547.

Almost surely, 22734388928 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 2734388928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119708296).

2734388928 is an abundant number, since it is smaller than the sum of its proper divisors (5505027664).

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

2734388928 is an equidigital number, since it uses as much as digits as its factorization.

2734388928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8732 (or 8713 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 2734388928 is about 52291.3848353627. The cubic root of 2734388928 is about 1398.3635518605.

The spelling of 2734388928 in words is "two billion, seven hundred thirty-four million, three hundred eighty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 81 96 108 122 144 162 183 192 216 244 288 324 366 432 488 549 576 648 732 864 976 1098 1296 1464 1647 1728 1952 2196 2592 2928 3294 3904 4392 4941 5184 5856 6588 8647 8784 9882 11712 13176 17294 17568 19764 25941 26352 34588 35136 39528 51882 52704 69176 77823 79056 103764 105408 138352 155646 158112 207528 233469 276704 311292 316224 415056 466938 527467 553408 622584 700407 830112 933876 1054934 1245168 1400814 1582401 1660224 1867752 2109868 2490336 2801628 3164802 3735504 4219736 4747203 4980672 5603256 6329604 7471008 8439472 9494406 11206512 12659208 14241609 14942016 16878944 18988812 22413024 25318416 28483218 33757888 37977624 42724827 44826048 50636832 56966436 75955248 85449654 101273664 113932872 151910496 170899308 227865744 303820992 341798616 455731488 683597232 911462976 1367194464 2734388928