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340207264 = 25174311451
BaseRepresentation
bin10100010001110…
…010011010100000
3212201011022122001
4110101302122200
51144043113024
653431453344
711300466625
oct2421623240
9781138561
10340207264
11165046831
1295b27254
1355637a97
143327c34c
151ed02244
hex144726a0

340207264 has 48 divisors (see below), whose sum is σ = 711317376. Its totient is φ = 159616000.

The previous prime is 340207211. The next prime is 340207337. The reversal of 340207264 is 462702043.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 233739 + ... + 235189.

It is an arithmetic number, because the mean of its divisors is an integer number (14819112).

Almost surely, 2340207264 is an apocalyptic number.

340207264 is a gapful number since it is divisible by the number (34) 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 340207264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355658688).

340207264 is an abundant number, since it is smaller than the sum of its proper divisors (371110112).

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

340207264 is a wasteful number, since it uses less digits than its factorization.

340207264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 340207264 is about 18444.7082926242. The cubic root of 340207264 is about 698.0949999732.

It can be divided in two parts, 3402072 and 64, that added together give a triangular number (3402136 = T2608).

The spelling of 340207264 in words is "three hundred forty million, two hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 431 544 862 1451 1724 2902 3448 5804 6896 7327 11608 13792 14654 23216 24667 29308 46432 49334 58616 98668 117232 197336 234464 394672 625381 789344 1250762 2501524 5003048 10006096 10631477 20012192 21262954 42525908 85051816 170103632 340207264