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434374368 = 2534524733
BaseRepresentation
bin11001111001000…
…000011011100000
31010021100111121120
4121321000123200
51342144434433
6111034052240
713523056401
oct3171003340
91107314546
10434374368
1120321398a
1210157a080
136bcb866c
14419919a8
15282037b3
hex19e406e0

434374368 has 24 divisors (see below), whose sum is σ = 1140232968. Its totient is φ = 144791424.

The previous prime is 434374363. The next prime is 434374393. The reversal of 434374368 is 863473434.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434374363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2262271 + ... + 2262462.

It is an arithmetic number, because the mean of its divisors is an integer number (47509707).

Almost surely, 2434374368 is an apocalyptic number.

434374368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

434374368 is an abundant number, since it is smaller than the sum of its proper divisors (705858600).

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

434374368 is a wasteful number, since it uses less digits than its factorization.

434374368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524746 (or 4524738 counting only the distinct ones).

The product of its digits is 580608, while the sum is 42.

The square root of 434374368 is about 20841.6498387244. The cubic root of 434374368 is about 757.3350615193.

The spelling of 434374368 in words is "four hundred thirty-four million, three hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4524733 9049466 13574199 18098932 27148398 36197864 54296796 72395728 108593592 144791456 217187184 434374368