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295930240 = 275677683
BaseRepresentation
bin10001101000111…
…000100110000000
3202121211210222021
4101220320212000
51101224231430
645210451224
710222236244
oct2150704600
9677753867
10295930240
11142054851
1283133b14
1349404568
142b434424
151aea807a
hex11a38980

295930240 has 64 divisors (see below), whose sum is σ = 709540560. Its totient is φ = 118024192.

The previous prime is 295930207. The next prime is 295930267. The reversal of 295930240 is 42039592.

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

It is a junction number, because it is equal to n+sod(n) for n = 295930196 and 295930205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 432939 + ... + 433621.

Almost surely, 2295930240 is an apocalyptic number.

295930240 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 295930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354770280).

295930240 is an abundant number, since it is smaller than the sum of its proper divisors (413610320).

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

295930240 is an equidigital number, since it uses as much as digits as its factorization.

295930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 295930240 is about 17202.6230558017. The cubic root of 295930240 is about 666.3920113066.

The spelling of 295930240 in words is "two hundred ninety-five million, nine hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 677 683 1354 1366 2708 2732 3385 3415 5416 5464 6770 6830 10832 10928 13540 13660 21664 21856 27080 27320 43328 43712 54160 54640 86656 87424 108320 109280 216640 218560 433280 437120 462391 924782 1849564 2311955 3699128 4623910 7398256 9247820 14796512 18495640 29593024 36991280 59186048 73982560 147965120 295930240