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390484980 = 223252169361
BaseRepresentation
bin10111010001100…
…101001111110100
31000012202200200200
4113101211033310
51244431004410
6102425240500
712451032114
oct2721451764
91005680620
10390484980
11190467166
12aa933130
1362b8c702
1439c09044
15244343c0
hex174653f4

390484980 has 36 divisors (see below), whose sum is σ = 1184471652. Its totient is φ = 104129280.

The previous prime is 390484937. The next prime is 390484993. The reversal of 390484980 is 89484093.

It is a happy number.

390484980 is a `hidden beast` number, since 3 + 90 + 484 + 9 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 164403684 + 226081296 = 12822^2 + 15036^2 .

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

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

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, 1084501 + ... + 1084860.

Almost surely, 2390484980 is an apocalyptic number.

390484980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

390484980 is an abundant number, since it is smaller than the sum of its proper divisors (793986672).

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

390484980 is a wasteful number, since it uses less digits than its factorization.

390484980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169376 (or 2169371 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 390484980 is about 19760.6928016201. The cubic root of 390484980 is about 730.9170809761.

The spelling of 390484980 in words is "three hundred ninety million, four hundred eighty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2169361 4338722 6508083 8677444 10846805 13016166 19524249 21693610 26032332 32540415 39048498 43387220 65080830 78096996 97621245 130161660 195242490 390484980