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374496 = 2534783
BaseRepresentation
bin1011011011011100000
3201000201020
41123123200
543440441
612005440
73116553
oct1333340
9630636
10374496
11236401
12160880
131015c5
149a69a
1575e66
hex5b6e0

374496 has 48 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 120704.

The previous prime is 374483. The next prime is 374501. The reversal of 374496 is 694473.

It is a tau number, because it is divible by the number of its divisors (48).

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, 4471 + ... + 4553.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2374496 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 374496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032).

374496 is an abundant number, since it is smaller than the sum of its proper divisors (641568).

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

374496 is a wasteful number, since it uses less digits than its factorization.

374496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 374496 is about 611.9607830572. The cubic root of 374496 is about 72.0801576409.

The spelling of 374496 in words is "three hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 83 94 96 141 166 188 249 282 332 376 498 564 664 752 996 1128 1328 1504 1992 2256 2656 3901 3984 4512 7802 7968 11703 15604 23406 31208 46812 62416 93624 124832 187248 374496