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394634240 = 21057211213
BaseRepresentation
bin10111100001011…
…010010000000000
31000111120111101222
4113201122100000
51302011243430
6103054214212
712531223100
oct2741322000
91014514358
10394634240
11192840600
12b01b4368
13639b31b0
143a5a9200
15249a39e5
hex1785a400

394634240 has 396 divisors, whose sum is σ = 1303537788. Its totient is φ = 113541120.

The previous prime is 394634213. The next prime is 394634249. The reversal of 394634240 is 42436493.

It can be written as a sum of positive squares in 2 ways, for example, as 97140736 + 297493504 = 9856^2 + 17248^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 394634240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394634249) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30356474 + ... + 30356486.

Almost surely, 2394634240 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 394634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651768894).

394634240 is an abundant number, since it is smaller than the sum of its proper divisors (908903548).

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

394634240 is a wasteful number, since it uses less digits than its factorization.

394634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The square root of 394634240 is about 19865.4030918076. The cubic root of 394634240 is about 733.4968524246.

The spelling of 394634240 in words is "three hundred ninety-four million, six hundred thirty-four thousand, two hundred forty".