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340892064 = 25374871
BaseRepresentation
bin10100010100011…
…001100110100000
3212202110010000000
4110110121212200
51144232021224
653454300000
711306351262
oct2424314640
9782403000
10340892064
11165474287
12961b7600
13558176a6
14333b9b32
151edda0c9
hex145199a0

340892064 has 96 divisors (see below), whose sum is σ = 1006750080. Its totient is φ = 113607360.

The previous prime is 340892023. The next prime is 340892099. The reversal of 340892064 is 460298043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 67549 + ... + 72419.

It is an arithmetic number, because the mean of its divisors is an integer number (10486980).

Almost surely, 2340892064 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 340892064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503375040).

340892064 is an abundant number, since it is smaller than the sum of its proper divisors (665858016).

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

340892064 is an frugal number, since it uses more digits than its factorization.

340892064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4902 (or 4876 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 340892064 is about 18463.2625502645. The cubic root of 340892064 is about 698.5630823325.

The spelling of 340892064 in words is "three hundred forty million, eight hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 4871 5832 7776 8748 9742 11664 14613 17496 19484 23328 29226 34992 38968 43839 58452 69984 77936 87678 116904 131517 155872 175356 233808 263034 350712 394551 467616 526068 701424 789102 1052136 1183653 1402848 1578204 2104272 2367306 3156408 3550959 4208544 4734612 6312816 7101918 9469224 10652877 12625632 14203836 18938448 21305754 28407672 37876896 42611508 56815344 85223016 113630688 170446032 340892064