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264141376 = 2617214281
BaseRepresentation
bin11111011111001…
…11101001000000
3200102000202211221
433233213221000
51020110011001
642113244424
76355110322
oct1757475100
9612022757
10264141376
11126112364
1274563714
1342954295
142711b612
15182c91a1
hexfbe7a40

264141376 has 42 divisors (see below), whose sum is σ = 556840898. Its totient is φ = 124293120.

The previous prime is 264141341. The next prime is 264141391. The reversal of 264141376 is 673141462.

It can be written as a sum of positive squares in 3 ways, for example, as 23270976 + 240870400 = 4824^2 + 15520^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11356 + ... + 25636.

Almost surely, 2264141376 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 264141376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278420449).

264141376 is an abundant number, since it is smaller than the sum of its proper divisors (292699522).

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

264141376 is a wasteful number, since it uses less digits than its factorization.

264141376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14327 (or 14300 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 264141376 is about 16252.4267726392. The cubic root of 264141376 is about 641.6213577798.

The spelling of 264141376 in words is "two hundred sixty-four million, one hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 9248 14281 18496 28562 57124 114248 228496 242777 456992 485554 913984 971108 1942216 3884432 4127209 7768864 8254418 15537728 16508836 33017672 66035344 132070688 264141376