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334679040 = 210355269
BaseRepresentation
bin10011111100101…
…100110000000000
3212022202110100000
4103330230300000
51141134212130
653113200000
711202503433
oct2374546000
9768673300
10334679040
11161a10353
1294100000
1354450747
143263d81a
151e5ae260
hex13f2cc00

334679040 has 264 divisors, whose sum is σ = 1207074960. Its totient is φ = 88915968.

The previous prime is 334679029. The next prime is 334679083. The reversal of 334679040 is 40976433.

It is a super-2 number, since 2×3346790402 = 224020119630643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 334678986 and 334679004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1244026 + ... + 1244294.

Almost surely, 2334679040 is an apocalyptic number.

334679040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603537480).

334679040 is an abundant number, since it is smaller than the sum of its proper divisors (872395920).

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

334679040 is an equidigital number, since it uses as much as digits as its factorization.

334679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 334679040 is about 18294.2351575571. The cubic root of 334679040 is about 694.2930824223.

The spelling of 334679040 in words is "three hundred thirty-four million, six hundred seventy-nine thousand, forty".