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394986240 = 28335111039
BaseRepresentation
bin10111100010110…
…000001100000000
31000112020101021000
4113202300030000
51302104024430
6103105532000
712534220245
oct2742601400
91015211230
10394986240
11192a61010
12b0344000
1363aa748c
143a65b5cc
1524a22e60
hex178b0300

394986240 has 288 divisors, whose sum is σ = 1530547200. Its totient is φ = 95662080.

The previous prime is 394986181. The next prime is 394986247. The reversal of 394986240 is 42689493.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (394986247) 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, 379641 + ... + 380679.

It is an arithmetic number, because the mean of its divisors is an integer number (5314400).

Almost surely, 2394986240 is an apocalyptic number.

394986240 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 394986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765273600).

394986240 is an abundant number, since it is smaller than the sum of its proper divisors (1135560960).

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

394986240 is a wasteful number, since it uses less digits than its factorization.

394986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 394986240 is about 19874.2607409685. The cubic root of 394986240 is about 733.7148721655.

The spelling of 394986240 in words is "three hundred ninety-four million, nine hundred eighty-six thousand, two hundred forty".