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672114304 = 277966467
BaseRepresentation
bin101000000011111…
…010011010000000
31201211200221111101
4220003322122000
52334030124204
6150405424144
722440606631
oct5003723200
91654627441
10672114304
11315433474
1216910b054
13a9327894
1465399888
153e014ea4
hex280fa680

672114304 has 32 divisors (see below), whose sum is σ = 1355947200. Its totient is φ = 331798272.

The previous prime is 672114301. The next prime is 672114307. The reversal of 672114304 is 403411276.

It is an interprime number because it is at equal distance from previous prime (672114301) and next prime (672114307).

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (672114301) 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 3 ways as a sum of consecutive naturals, for example, 23122 + ... + 43345.

It is an arithmetic number, because the mean of its divisors is an integer number (42373350).

Almost surely, 2672114304 is an apocalyptic number.

672114304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

672114304 is an abundant number, since it is smaller than the sum of its proper divisors (683832896).

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

672114304 is an equidigital number, since it uses as much as digits as its factorization.

672114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66560 (or 66548 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 672114304 is about 25925.1673861520. The cubic root of 672114304 is about 875.9534875188.

It can be divided in two parts, 6721 and 14304, that added together give a square (21025 = 1452).

The spelling of 672114304 in words is "six hundred seventy-two million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 2528 5056 10112 66467 132934 265868 531736 1063472 2126944 4253888 5250893 8507776 10501786 21003572 42007144 84014288 168028576 336057152 672114304