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334354240 = 2651143472
BaseRepresentation
bin10011111011011…
…101011101000000
3212022010221210101
4103323131131000
51141043313430
653102212144
711166651463
oct2373353500
9768127711
10334354240
11161809320
1293b84054
135436895c
14325972da
151e547dca
hex13edd740

334354240 has 168 divisors, whose sum is σ = 908072352. Its totient is φ = 116229120.

The previous prime is 334354219. The next prime is 334354259. The reversal of 334354240 is 42453433.

It is a super-2 number, since 2×3343542402 = 223585515611955200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334354199 and 334354208.

It is a congruent number.

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, 7113897 + ... + 7113943.

Almost surely, 2334354240 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 334354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454036176).

334354240 is an abundant number, since it is smaller than the sum of its proper divisors (573718112).

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

334354240 is a wasteful number, since it uses less digits than its factorization.

334354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

The square root of 334354240 is about 18285.3558893449. The cubic root of 334354240 is about 694.0684100690.

It can be divided in two parts, 33435 and 4240, that added together give a triangular number (37675 = T274).

The spelling of 334354240 in words is "three hundred thirty-four million, three hundred fifty-four thousand, two hundred forty".