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374233984 = 2731372549
BaseRepresentation
bin10110010011100…
…101101110000000
3222002012001111221
4112103211232000
51231300441414
6101045044424
712162636115
oct2623455600
9862161457
10374233984
11182277593
12a53b6714
135c6bc837
14379b890c
1522cc4224
hex164e5b80

374233984 has 64 divisors (see below), whose sum is σ = 790704000. Its totient is φ = 176117760.

The previous prime is 374233961. The next prime is 374233997. The reversal of 374233984 is 489332473.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 374233984.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 145542 + ... + 148090.

It is an arithmetic number, because the mean of its divisors is an integer number (12354750).

Almost surely, 2374233984 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 374233984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395352000).

374233984 is an abundant number, since it is smaller than the sum of its proper divisors (416470016).

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

374233984 is a wasteful number, since it uses less digits than its factorization.

374233984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2619 counting only the distinct ones).

The product of its digits is 435456, while the sum is 43.

The square root of 374233984 is about 19345.1281722298. The cubic root of 374233984 is about 720.6334343297.

The spelling of 374233984 in words is "three hundred seventy-four million, two hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 128 148 248 296 496 592 992 1147 1184 1984 2294 2368 2549 3968 4588 4736 5098 9176 10196 18352 20392 36704 40784 73408 79019 81568 94313 146816 158038 163136 188626 316076 326272 377252 632152 754504 1264304 1509008 2528608 2923703 3018016 5057216 5847406 6036032 10114432 11694812 12072064 23389624 46779248 93558496 187116992 374233984