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376272 = 24331367
BaseRepresentation
bin1011011110111010000
3201010011000
41123313100
544020042
612022000
73125001
oct1336720
9633130
10376272
11237776
12161900
13102360
149b1a8
157674c
hex5bdd0

376272 has 80 divisors (see below), whose sum is σ = 1180480. Its totient is φ = 114048.

The previous prime is 376241. The next prime is 376283. The reversal of 376272 is 272673.

376272 is a `hidden beast` number, since 37 + 627 + 2 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5583 + ... + 5649.

It is an arithmetic number, because the mean of its divisors is an integer number (14756).

2376272 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 376272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590240).

376272 is an abundant number, since it is smaller than the sum of its proper divisors (804208).

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

376272 is a wasteful number, since it uses less digits than its factorization.

376272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 85 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 376272 is about 613.4101401183. The cubic root of 376272 is about 72.1939216753.

The spelling of 376272 in words is "three hundred seventy-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 67 72 78 104 108 117 134 144 156 201 208 216 234 268 312 351 402 432 468 536 603 624 702 804 871 936 1072 1206 1404 1608 1742 1809 1872 2412 2613 2808 3216 3484 3618 4824 5226 5616 6968 7236 7839 9648 10452 13936 14472 15678 20904 23517 28944 31356 41808 47034 62712 94068 125424 188136 376272