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412326720 = 26335133671
BaseRepresentation
bin11000100100111…
…001101101000000
31001201212100221000
4120210321231000
51321023423340
6104525332000
713134501501
oct3044715500
91051770830
10412326720
111a1825193
12b6107000
1367569210
143ca92ba8
15262ead30
hex18939b40

412326720 has 224 divisors, whose sum is σ = 1566915840. Its totient is φ = 101468160.

The previous prime is 412326689. The next prime is 412326731. The reversal of 412326720 is 27623214.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110485 + ... + 114155.

It is an arithmetic number, because the mean of its divisors is an integer number (6995160).

Almost surely, 2412326720 is an apocalyptic number.

412326720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783457920).

412326720 is an abundant number, since it is smaller than the sum of its proper divisors (1154589120).

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

412326720 is a wasteful number, since it uses less digits than its factorization.

412326720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3694 counting only the distinct ones).

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

The square root of 412326720 is about 20305.8297047917. The cubic root of 412326720 is about 744.2985274433.

Adding to 412326720 its reverse (27623214), we get a palindrome (439949934).

The spelling of 412326720 in words is "four hundred twelve million, three hundred twenty-six thousand, seven hundred twenty".