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413730144 = 25321436563
BaseRepresentation
bin11000101010010…
…000010101100000
31001211111200001200
4120222100111200
51321403331034
6105015401200
713152435222
oct3052202540
91054450050
10413730144
111a25a3643
12b6683200
136793ac49
143cd3a412
15264c6a99
hex18a90560

413730144 has 36 divisors (see below), whose sum is σ = 1176545916. Its totient is φ = 137909952.

The previous prime is 413730127. The next prime is 413730151. The reversal of 413730144 is 441037314.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 717994 + ... + 718569.

It is an arithmetic number, because the mean of its divisors is an integer number (32681831).

Almost surely, 2413730144 is an apocalyptic number.

It is an amenable number.

413730144 is an abundant number, since it is smaller than the sum of its proper divisors (762815772).

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

413730144 is a wasteful number, since it uses less digits than its factorization.

413730144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436579 (or 1436568 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 413730144 is about 20340.3575189818. The cubic root of 413730144 is about 745.1420199798.

Adding to 413730144 its reverse (441037314), we get a palindrome (854767458).

The spelling of 413730144 in words is "four hundred thirteen million, seven hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1436563 2873126 4309689 5746252 8619378 11492504 12929067 17238756 22985008 25858134 34477512 45970016 51716268 68955024 103432536 137910048 206865072 413730144