Search a number
-
+
3730664 = 237231307
BaseRepresentation
bin1110001110110011101000
321000112111202
432032303220
51423340124
6211543332
743465400
oct16166350
97015452
103730664
1121189a3
1212bab48
13a080c2
146d1800
154da5ae
hex38ece8

3730664 has 48 divisors (see below), whose sum is σ = 8426880. Its totient is φ = 1542240.

The previous prime is 3730651. The next prime is 3730679. The reversal of 3730664 is 4660373.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11999 + ... + 12305.

It is an arithmetic number, because the mean of its divisors is an integer number (175560).

Almost surely, 23730664 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 3730664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213440).

3730664 is an abundant number, since it is smaller than the sum of its proper divisors (4696216).

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

3730664 is a wasteful number, since it uses less digits than its factorization.

3730664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 3730664 is about 1931.4926870170. The cubic root of 3730664 is about 155.0941363648.

The spelling of 3730664 in words is "three million, seven hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 307 392 434 614 868 1228 1519 1736 2149 2456 3038 4298 6076 8596 9517 12152 15043 17192 19034 30086 38068 60172 66619 76136 120344 133238 266476 466333 532952 932666 1865332 3730664