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341164672 = 2731127677
BaseRepresentation
bin10100010101011…
…100001010000000
3212202221221221121
4110111130022000
51144314232142
653504202024
711311565122
oct2425341200
9782857847
10341164672
11165640082
1296309314
13558b17b4
143344b212
151ee40c67
hex1455c280

341164672 has 64 divisors (see below), whose sum is σ = 708157440. Its totient is φ = 163537920.

The previous prime is 341164669. The next prime is 341164693. The reversal of 341164672 is 276461143.

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

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, 503598 + ... + 504274.

It is an arithmetic number, because the mean of its divisors is an integer number (11064960).

Almost surely, 2341164672 is an apocalyptic number.

341164672 is a gapful number since it is divisible by the number (32) 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 341164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354078720).

341164672 is an abundant number, since it is smaller than the sum of its proper divisors (366992768).

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

341164672 is a wasteful number, since it uses less digits than its factorization.

341164672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 837 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 341164672 is about 18470.6435188382. The cubic root of 341164672 is about 698.7492440386.

The spelling of 341164672 in words is "three hundred forty-one million, one hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 127 128 248 254 496 508 677 992 1016 1354 1984 2032 2708 3937 3968 4064 5416 7874 8128 10832 15748 16256 20987 21664 31496 41974 43328 62992 83948 85979 86656 125984 167896 171958 251968 335792 343916 503936 671584 687832 1343168 1375664 2665349 2686336 2751328 5330698 5502656 10661396 11005312 21322792 42645584 85291168 170582336 341164672