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274740096 = 2733761317
BaseRepresentation
bin10000011000000…
…011001110000000
3201010222020120010
4100120003032000
51030313140341
643132344520
76544152351
oct2030031600
9633866503
10274740096
111310a1334
1278015140
1344bc5507
14286b9d28
15191be716
hex10603380

274740096 has 128 divisors (see below), whose sum is σ = 764192160. Its totient is φ = 87367680.

The previous prime is 274740061. The next prime is 274740097. The reversal of 274740096 is 690047472.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274740097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 866530 + ... + 866846.

Almost surely, 2274740096 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 274740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382096080).

274740096 is an abundant number, since it is smaller than the sum of its proper divisors (489452064).

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

274740096 is a wasteful number, since it uses less digits than its factorization.

274740096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 274740096 is about 16575.2856988952. The cubic root of 274740096 is about 650.0907928400.

The spelling of 274740096 in words is "two hundred seventy-four million, seven hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 61 64 74 96 111 122 128 148 183 192 222 244 296 317 366 384 444 488 592 634 732 888 951 976 1184 1268 1464 1776 1902 1952 2257 2368 2536 2928 3552 3804 3904 4514 4736 5072 5856 6771 7104 7608 7808 9028 10144 11712 11729 13542 14208 15216 18056 19337 20288 23424 23458 27084 30432 35187 36112 38674 40576 46916 54168 58011 60864 70374 72224 77348 93832 108336 116022 121728 140748 144448 154696 187664 216672 232044 281496 288896 309392 375328 433344 464088 562992 618784 715469 750656 866688 928176 1125984 1237568 1430938 1501312 1856352 2146407 2251968 2475136 2861876 3712704 4292814 4503936 5723752 7425408 8585628 11447504 17171256 22895008 34342512 45790016 68685024 91580032 137370048 274740096