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412923420 = 223457132801
BaseRepresentation
bin11000100111001…
…011011000011100
31001202222200110000
4120213023120130
51321202022140
6104550214300
713142535240
oct3047133034
91052880400
10412923420
111a20a2528
12b6354390
13677179b0
143cbaa420
15263b7a30
hex189cb61c

412923420 has 240 divisors, whose sum is σ = 1594853568. Its totient is φ = 87091200.

The previous prime is 412923419. The next prime is 412923437. The reversal of 412923420 is 24329214.

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 79 ways as a sum of consecutive naturals, for example, 146020 + ... + 148820.

Almost surely, 2412923420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412923420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797426784).

412923420 is an abundant number, since it is smaller than the sum of its proper divisors (1181930148).

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

412923420 is a wasteful number, since it uses less digits than its factorization.

412923420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 412923420 is about 20320.5172178269. The cubic root of 412923420 is about 744.6573924274.

The spelling of 412923420 in words is "four hundred twelve million, nine hundred twenty-three thousand, four hundred twenty".