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1682014368 = 2531931151197
BaseRepresentation
bin110010001000001…
…1000000010100000
311100020000011221110
41210100120002200
511421043424433
6434523223320
756452612656
oct14420300240
94306004843
101682014368
117934a9321
123ab377b40
1320a61cc98
1411d562dd6
159c9ee963
hex644180a0

1682014368 has 192 divisors, whose sum is σ = 4853882880. Its totient is φ = 508032000.

The previous prime is 1682014361. The next prime is 1682014393. The reversal of 1682014368 is 8634102861.

It is not an unprimeable number, because it can be changed into a prime (1682014361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8538046 + ... + 8538242.

It is an arithmetic number, because the mean of its divisors is an integer number (25280640).

Almost surely, 21682014368 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 1682014368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426941440).

1682014368 is an abundant number, since it is smaller than the sum of its proper divisors (3171868512).

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

1682014368 is a wasteful number, since it uses less digits than its factorization.

1682014368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1682014368 is about 41012.3684758635. The cubic root of 1682014368 is about 1189.2593295979.

The spelling of 1682014368 in words is "one billion, six hundred eighty-two million, fourteen thousand, three hundred sixty-eight".