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408113400 = 23352680189
BaseRepresentation
bin11000010100110…
…101000011111000
31001102221022100010
4120110311003320
51313434112100
6104255141520
713053622662
oct3024650370
91042838303
10408113400
1119a407702
12b48148a0
1366722526
143c2b7532
1525c67750
hex185350f8

408113400 has 48 divisors (see below), whose sum is σ = 1265153400. Its totient is φ = 108830080.

The previous prime is 408113393. The next prime is 408113411. The reversal of 408113400 is 4311804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339495 + ... + 340694.

Almost surely, 2408113400 is an apocalyptic number.

408113400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408113400 is an abundant number, since it is smaller than the sum of its proper divisors (857040000).

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

408113400 is a wasteful number, since it uses less digits than its factorization.

408113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680208 (or 680199 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 408113400 is about 20201.8167499856. The cubic root of 408113400 is about 741.7546625102.

The spelling of 408113400 in words is "four hundred eight million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 680189 1360378 2040567 2720756 3400945 4081134 5441512 6801890 8162268 10202835 13603780 16324536 17004725 20405670 27207560 34009450 40811340 51014175 68018900 81622680 102028350 136037800 204056700 408113400