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334880388 = 223243227953
BaseRepresentation
bin10011111101011…
…101111010000100
3212100010200112100
4103331131322010
51141212133023
653121352100
711204302443
oct2375357204
9770120470
10334880388
11162038657
1294198630
13544c129b
1432692d5a
151e5edc43
hex13f5de84

334880388 has 72 divisors (see below), whose sum is σ = 870918048. Its totient is φ = 108436608.

The previous prime is 334880387. The next prime is 334880411. The reversal of 334880388 is 883088433.

It is a super-2 number, since 2×3348803882 = 224289748534061088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (334880387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350920 + ... + 351872.

It is an arithmetic number, because the mean of its divisors is an integer number (12096084).

Almost surely, 2334880388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334880388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435459024).

334880388 is an abundant number, since it is smaller than the sum of its proper divisors (536037660).

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

334880388 is a wasteful number, since it uses less digits than its factorization.

334880388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 334880388 is about 18299.7373751647. The cubic root of 334880388 is about 694.4322869357.

The spelling of 334880388 in words is "three hundred thirty-four million, eight hundred eighty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 227 258 387 454 516 681 774 908 953 1362 1548 1906 2043 2724 2859 3812 4086 5718 8172 8577 9761 11436 17154 19522 29283 34308 39044 40979 58566 81958 87849 117132 122937 163916 175698 216331 245874 351396 368811 432662 491748 648993 737622 865324 1297986 1475244 1946979 2595972 3893958 7787916 9302233 18604466 27906699 37208932 55813398 83720097 111626796 167440194 334880388