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394010496 = 273211173159
BaseRepresentation
bin10111011111000…
…001111110000000
31000110101210210100
4113133001332000
51301331313441
6103033002400
712523014435
oct2737017600
91013353710
10394010496
11192454a10
12abb53400
1363825309
143a485b8c
15248cdcb6
hex177c1f80

394010496 has 384 divisors, whose sum is σ = 1374796800. Its totient is φ = 106905600.

The previous prime is 394010431. The next prime is 394010503. The reversal of 394010496 is 694010493.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 394010496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6678115 + ... + 6678173.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2394010496 is an apocalyptic number.

394010496 is a gapful number since it is divisible by the number (36) 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 394010496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687398400).

394010496 is an abundant number, since it is smaller than the sum of its proper divisors (980786304).

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

394010496 is a wasteful number, since it uses less digits than its factorization.

394010496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 394010496 is about 19849.6976299389. The cubic root of 394010496 is about 733.1102028223.

The spelling of 394010496 in words is "three hundred ninety-four million, ten thousand, four hundred ninety-six".