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334168992 = 25321160309
BaseRepresentation
bin10011111010110…
…000001110100000
3212021210112200100
4103322300032200
51141021401432
653054222400
711165250423
oct2372601640
9767715610
10334168992
111616a2123
1293ab4a00
1354302541
14325499ba
151e50d07c
hex13eb03a0

334168992 has 36 divisors (see below), whose sum is σ = 950293890. Its totient is φ = 111389568.

The previous prime is 334168987. The next prime is 334168997. The reversal of 334168992 is 299861433.

It is a happy number.

334168992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (334168987) and next prime (334168997).

It can be written as a sum of positive squares in only one way, i.e., 334012176 + 156816 = 18276^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3341689922 = 223337830428592128, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (334168997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 579867 + ... + 580442.

Almost surely, 2334168992 is an apocalyptic number.

334168992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

334168992 is an abundant number, since it is smaller than the sum of its proper divisors (616124898).

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

334168992 is a wasteful number, since it uses less digits than its factorization.

334168992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160325 (or 1160314 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 334168992 is about 18280.2897132403. The cubic root of 334168992 is about 693.9402041901.

The spelling of 334168992 in words is "three hundred thirty-four million, one hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1160309 2320618 3480927 4641236 6961854 9282472 10442781 13923708 18564944 20885562 27847416 37129888 41771124 55694832 83542248 111389664 167084496 334168992