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340960928 = 25711197283
BaseRepresentation
bin10100010100101…
…010011010100000
3212202120121110112
4110110222122200
51144241222203
653455550452
711310056120
oct2424523240
9782517415
10340960928
11165510aa0
129622b428
135583cb39
14333d6c80
151ee006d8
hex1452a6a0

340960928 has 96 divisors (see below), whose sum is σ = 881072640. Its totient is φ = 125832960.

The previous prime is 340960927. The next prime is 340960931. The reversal of 340960928 is 829069043.

It is a happy number.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (340960927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43175 + ... + 50457.

It is an arithmetic number, because the mean of its divisors is an integer number (9177840).

Almost surely, 2340960928 is an apocalyptic number.

340960928 is a gapful number since it is divisible by the number (38) 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 340960928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440536320).

340960928 is an abundant number, since it is smaller than the sum of its proper divisors (540111712).

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

340960928 is a wasteful number, since it uses less digits than its factorization.

340960928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7330 (or 7322 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 340960928 is about 18465.1273485996. The cubic root of 340960928 is about 698.6101183441.

The spelling of 340960928 in words is "three hundred forty million, nine hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 76 77 88 112 133 152 154 176 209 224 266 304 308 352 418 532 608 616 836 1064 1232 1463 1672 2128 2464 2926 3344 4256 5852 6688 7283 11704 14566 23408 29132 46816 50981 58264 80113 101962 116528 138377 160226 203924 233056 276754 320452 407848 553508 560791 640904 815696 968639 1107016 1121582 1281808 1522147 1631392 1937278 2214032 2243164 2563616 3044294 3874556 4428064 4486328 6088588 7749112 8972656 10655029 12177176 15498224 17945312 21310058 24354352 30996448 42620116 48708704 85240232 170480464 340960928