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274275968 = 2729371997
BaseRepresentation
bin10000010110010…
…001111010000000
3201010002122220012
4100112101322000
51030203312333
643114404052
76540210251
oct2026217200
9633078805
10274275968
1113090465a
1277a30628
1344a92195
14285d8b28
151912be48
hex10591e80

274275968 has 64 divisors (see below), whose sum is σ = 580818600. Its totient is φ = 128765952.

The previous prime is 274275961. The next prime is 274275971. The reversal of 274275968 is 869572472.

It can be written as a sum of positive squares in 4 ways, for example, as 218803264 + 55472704 = 14792^2 + 7448^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (274275961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136346 + ... + 138342.

Almost surely, 2274275968 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 274275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290409300).

274275968 is an abundant number, since it is smaller than the sum of its proper divisors (306542632).

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

274275968 is a wasteful number, since it uses less digits than its factorization.

274275968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2065 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 50.

The square root of 274275968 is about 16561.2791776481. The cubic root of 274275968 is about 649.7245128436.

The spelling of 274275968 in words is "two hundred seventy-four million, two hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 37 58 64 74 116 128 148 232 296 464 592 928 1073 1184 1856 1997 2146 2368 3712 3994 4292 4736 7988 8584 15976 17168 31952 34336 57913 63904 68672 73889 115826 127808 137344 147778 231652 255616 295556 463304 591112 926608 1182224 1853216 2142781 2364448 3706432 4285562 4728896 7412864 8571124 9457792 17142248 34284496 68568992 137137984 274275968