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276394240 = 2851811193
BaseRepresentation
bin10000011110010…
…111000100000000
3201021002021121201
4100132113010000
51031224103430
643232030544
76564212053
oct2036270400
9637067551
10276394240
111320210a1
1278692454
13453543b5
14289caa9a
15193e98ca
hex10797100

276394240 has 72 divisors (see below), whose sum is σ = 666266328. Its totient is φ = 109854720.

The previous prime is 276394231. The next prime is 276394241. The reversal of 276394240 is 42493672.

276394240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 276357376 = 192^2 + 16624^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 276394240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276394241) 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, 231084 + ... + 232276.

It is an arithmetic number, because the mean of its divisors is an integer number (9253699).

Almost surely, 2276394240 is an apocalyptic number.

276394240 is a gapful number since it is divisible by the number (20) 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 276394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333133164).

276394240 is an abundant number, since it is smaller than the sum of its proper divisors (389872088).

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

276394240 is a wasteful number, since it uses less digits than its factorization.

276394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 276394240 is about 16625.1087214490. The cubic root of 276394240 is about 651.3928632466.

The spelling of 276394240 in words is "two hundred seventy-six million, three hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 181 256 320 362 640 724 905 1193 1280 1448 1810 2386 2896 3620 4772 5792 5965 7240 9544 11584 11930 14480 19088 23168 23860 28960 38176 46336 47720 57920 76352 95440 115840 152704 190880 215933 231680 305408 381760 431866 763520 863732 1079665 1527040 1727464 2159330 3454928 4318660 6909856 8637320 13819712 17274640 27639424 34549280 55278848 69098560 138197120 276394240