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420376 = 231117281
BaseRepresentation
bin1100110101000011000
3210100122111
41212220120
5101423001
613002104
73400405
oct1465030
9710574
10420376
11267920
12183334
13119458
14ad2ac
1584851
hex66a18

420376 has 32 divisors (see below), whose sum is σ = 913680. Its totient is φ = 179200.

The previous prime is 420367. The next prime is 420383. The reversal of 420376 is 673024.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1356 + ... + 1636.

2420376 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 420376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456840).

420376 is an abundant number, since it is smaller than the sum of its proper divisors (493304).

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

420376 is a wasteful number, since it uses less digits than its factorization.

420376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 420376 is about 648.3640952428. The cubic root of 420376 is about 74.9110649528.

The spelling of 420376 in words is "four hundred twenty thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 281 374 562 748 1124 1496 2248 3091 4777 6182 9554 12364 19108 24728 38216 52547 105094 210188 420376