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374330016 = 253210312619
BaseRepresentation
bin10110010011111…
…101001010100000
3222002100221020200
4112103331022200
51231312030031
6101051105200
712163516104
oct2623751240
9862327220
10374330016
11182332755
12a5442200
135c724468
1437a01904
1522ce28e6
hex164fd2a0

374330016 has 72 divisors (see below), whose sum is σ = 1074921120. Its totient is φ = 123555456.

The previous prime is 374329993. The next prime is 374330017. The reversal of 374330016 is 610033473.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (374330017) 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, 23355 + ... + 35973.

It is an arithmetic number, because the mean of its divisors is an integer number (14929460).

Almost surely, 2374330016 is an apocalyptic number.

374330016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374330016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537460560).

374330016 is an abundant number, since it is smaller than the sum of its proper divisors (700591104).

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

374330016 is a wasteful number, since it uses less digits than its factorization.

374330016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12738 (or 12727 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 374330016 is about 19347.6100849692. The cubic root of 374330016 is about 720.6950695225.

Adding to 374330016 its reverse (610033473), we get a palindrome (984363489).

The spelling of 374330016 in words is "three hundred seventy-four million, three hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 412 618 824 927 1236 1648 1854 2472 3296 3708 4944 7416 9888 12619 14832 25238 29664 37857 50476 75714 100952 113571 151428 201904 227142 302856 403808 454284 605712 908568 1211424 1299757 1817136 2599514 3634272 3899271 5199028 7798542 10398056 11697813 15597084 20796112 23395626 31194168 41592224 46791252 62388336 93582504 124776672 187165008 374330016