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334356640 = 2554150969
BaseRepresentation
bin10011111011011…
…110000010100000
3212022011002002021
4103323132002200
51141043403030
653102231224
711166661462
oct2373360240
9768132067
10334356640
11161810102
1293b85514
1354369a87
1432598132
151e54897a
hex13ede0a0

334356640 has 48 divisors (see below), whose sum is σ = 809199720. Its totient is φ = 130478080.

The previous prime is 334356613. The next prime is 334356641. The reversal of 334356640 is 46653433.

It can be written as a sum of positive squares in 4 ways, for example, as 116380944 + 217975696 = 10788^2 + 14764^2 .

It is a super-2 number, since 2×3343566402 = 223588725424179200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334356596 and 334356605.

It is not an unprimeable number, because it can be changed into a prime (334356641) 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, 18925 + ... + 32044.

Almost surely, 2334356640 is an apocalyptic number.

It is an amenable number.

334356640 is an abundant number, since it is smaller than the sum of its proper divisors (474843080).

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

334356640 is a wasteful number, since it uses less digits than its factorization.

334356640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51025 (or 51017 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

The square root of 334356640 is about 18285.4215155134. The cubic root of 334356640 is about 694.0700707431.

The spelling of 334356640 in words is "three hundred thirty-four million, three hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 50969 101938 203876 254845 407752 509690 815504 1019380 1631008 2038760 2089729 4077520 4179458 8155040 8358916 10448645 16717832 20897290 33435664 41794580 66871328 83589160 167178320 334356640