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334768940 = 225111521677
BaseRepresentation
bin10011111101000…
…010101100101100
3212022221000122122
4103331002230230
51141200101230
653115132112
711203326512
oct2375025454
9768830578
10334768940
11161a71950
1294144038
135448263c
14326644b2
151e5cabe5
hex13f42b2c

334768940 has 24 divisors (see below), whose sum is σ = 766925712. Its totient is φ = 121734080.

The previous prime is 334768927. The next prime is 334768943. The reversal of 334768940 is 49867433.

It is a happy number.

It is a super-2 number, since 2×3347689402 = 224140486377447200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 334768891 and 334768900.

It is not an unprimeable number, because it can be changed into a prime (334768943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 760619 + ... + 761058.

It is an arithmetic number, because the mean of its divisors is an integer number (31955238).

Almost surely, 2334768940 is an apocalyptic number.

It is an amenable number.

334768940 is an abundant number, since it is smaller than the sum of its proper divisors (432156772).

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

334768940 is a wasteful number, since it uses less digits than its factorization.

334768940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521697 (or 1521695 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The square root of 334768940 is about 18296.6920507506. The cubic root of 334768940 is about 694.3552428335.

The spelling of 334768940 in words is "three hundred thirty-four million, seven hundred sixty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1521677 3043354 6086708 7608385 15216770 16738447 30433540 33476894 66953788 83692235 167384470 334768940