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374273664 = 27323311367
BaseRepresentation
bin10110010011101…
…111011010000000
3222002021001221120
4112103233122000
51231303224124
6101045552240
712163162602
oct2623573200
9862231846
10374273664
111822a4386
12a5415680
135c70490b
14379c9172
1522cd0d79
hex164ef680

374273664 has 128 divisors (see below), whose sum is σ = 1071636480. Its totient is φ = 115399680.

The previous prime is 374273663. The next prime is 374273671. The reversal of 374273664 is 466372473.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (374273663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273109 + ... + 274475.

It is an arithmetic number, because the mean of its divisors is an integer number (8372160).

Almost surely, 2374273664 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 374273664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535818240).

374273664 is an abundant number, since it is smaller than the sum of its proper divisors (697362816).

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

374273664 is a wasteful number, since it uses less digits than its factorization.

374273664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1426 counting only the distinct ones).

The product of its digits is 508032, while the sum is 42.

The square root of 374273664 is about 19346.1537262578. The cubic root of 374273664 is about 720.6589029984.

The spelling of 374273664 in words is "three hundred seventy-four million, two hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 124 128 138 184 186 192 248 276 368 372 384 496 552 713 736 744 992 1104 1367 1426 1472 1488 1984 2139 2208 2734 2852 2944 2976 3968 4101 4278 4416 5468 5704 5952 8202 8556 8832 10936 11408 11904 16404 17112 21872 22816 31441 32808 34224 42377 43744 45632 62882 65616 68448 84754 87488 91264 94323 125764 127131 131232 136896 169508 174976 188646 251528 254262 262464 273792 339016 377292 503056 508524 524928 678032 754584 974671 1006112 1017048 1356064 1509168 1949342 2012224 2034096 2712128 2924013 3018336 3898684 4024448 4068192 5424256 5848026 6036672 7797368 8136384 11696052 12073344 15594736 16272768 23392104 31189472 46784208 62378944 93568416 124757888 187136832 374273664