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374127376 = 24729229503
BaseRepresentation
bin10110010011001…
…011101100010000
3222001222122021111
4112103023230100
51231234034001
6101042503104
712162013240
oct2623135420
9861878244
10374127376
11182204487
12a5364a94
135c68315c
143798bb20
1522ca2851
hex164cbb10

374127376 has 80 divisors (see below), whose sum is σ = 862444800. Its totient is φ = 153828864.

The previous prime is 374127373. The next prime is 374127421. The reversal of 374127376 is 673721473.

It is not an unprimeable number, because it can be changed into a prime (374127373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743541 + ... + 744043.

It is an arithmetic number, because the mean of its divisors is an integer number (10780560).

Almost surely, 2374127376 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 374127376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431222400).

374127376 is an abundant number, since it is smaller than the sum of its proper divisors (488317424).

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

374127376 is a wasteful number, since it uses less digits than its factorization.

374127376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

The product of its digits is 148176, while the sum is 40.

The square root of 374127376 is about 19342.3725535416. The cubic root of 374127376 is about 720.5649989045.

The spelling of 374127376 in words is "three hundred seventy-four million, one hundred twenty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 229 232 406 458 464 503 812 916 1006 1603 1624 1832 2012 3206 3248 3521 3664 4024 6412 6641 7042 8048 12824 13282 14084 14587 25648 26564 28168 29174 46487 53128 56336 58348 92974 102109 106256 115187 116696 185948 204218 230374 233392 371896 408436 460748 743792 806309 816872 921496 1612618 1633744 1842992 3225236 3340423 6450472 6680846 12900944 13361692 23382961 26723384 46765922 53446768 93531844 187063688 374127376