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390828314484 = 223217638608357
BaseRepresentation
bin1011010111111110010…
…11101100111101110100
31101100210111102110201200
411223333023230331310
522400404022030414
6455313303052500
740144042601046
oct5537713547564
91340714373650
10390828314484
11140827438313
12638b3741130
132ab164387aa
1414cb8059a96
15a276607109
hex5aff2ecf74

390828314484 has 36 divisors (see below), whose sum is σ = 1046040490404. Its totient is φ = 122612804352.

The previous prime is 390828314479. The next prime is 390828314519. The reversal of 390828314484 is 484413828093.

390828314484 is a `hidden beast` number, since 3 + 9 + 0 + 82 + 83 + 1 + 4 + 484 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 123146250084 + 267682064400 = 350922^2 + 517380^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 390828314484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319303567 + ... + 319304790.

It is an arithmetic number, because the mean of its divisors is an integer number (29056680289).

Almost surely, 2390828314484 is an apocalyptic number.

390828314484 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

390828314484 is an abundant number, since it is smaller than the sum of its proper divisors (655212175920).

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

390828314484 is a wasteful number, since it uses less digits than its factorization.

390828314484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638608384 (or 638608379 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 390828314484 in words is "three hundred ninety billion, eight hundred twenty-eight million, three hundred fourteen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 638608357 1277216714 1915825071 2554433428 3831650142 5747475213 7663300284 10856342069 11494950426 21712684138 22989900852 32569026207 43425368276 65138052414 97707078621 130276104828 195414157242 390828314484