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373834368 = 27321911699
BaseRepresentation
bin10110010010000…
…100001010000000
3222001102202100100
4112102010022000
51231200144433
6101032322400
712156353055
oct2622041200
9861382310
10373834368
11182024326
12a5243400
135c5ac98b
143791302c
1522c45b13
hex16484280

373834368 has 96 divisors (see below), whose sum is σ = 1082016000. Its totient is φ = 123886080.

The previous prime is 373834361. The next prime is 373834429. The reversal of 373834368 is 863438373.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (373834361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219183 + ... + 220881.

It is an arithmetic number, because the mean of its divisors is an integer number (11271000).

Almost surely, 2373834368 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 373834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541008000).

373834368 is an abundant number, since it is smaller than the sum of its proper divisors (708181632).

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

373834368 is a wasteful number, since it uses less digits than its factorization.

373834368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1895 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 373834368 is about 19334.7968181722. The cubic root of 373834368 is about 720.3768397690.

The spelling of 373834368 in words is "three hundred seventy-three million, eight hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 191 192 288 382 384 573 576 764 1146 1152 1528 1699 1719 2292 3056 3398 3438 4584 5097 6112 6796 6876 9168 10194 12224 13592 13752 15291 18336 20388 24448 27184 27504 30582 36672 40776 54368 55008 61164 73344 81552 108736 110016 122328 163104 217472 220032 244656 324509 326208 489312 649018 652416 973527 978624 1298036 1947054 1957248 2596072 2920581 3894108 5192144 5841162 7788216 10384288 11682324 15576432 20768576 23364648 31152864 41537152 46729296 62305728 93458592 124611456 186917184 373834368