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3722664 = 2331159239
BaseRepresentation
bin1110001100110110101000
321000010112110
432030312220
51423111124
6211442320
743433151
oct16146650
97003473
103722664
112112990
1212b63a0
13a0457a
146cc928
154d8029
hex38cda8

3722664 has 64 divisors (see below), whose sum is σ = 10368000. Its totient is φ = 1104320.

The previous prime is 3722629. The next prime is 3722683. The reversal of 3722664 is 4662273.

3722664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15457 + ... + 15695.

It is an arithmetic number, because the mean of its divisors is an integer number (162000).

Almost surely, 23722664 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 3722664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184000).

3722664 is an abundant number, since it is smaller than the sum of its proper divisors (6645336).

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

3722664 is a wasteful number, since it uses less digits than its factorization.

3722664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 314 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 3722664 is about 1929.4206384301. The cubic root of 3722664 is about 154.9831962359.

The spelling of 3722664 in words is "three million, seven hundred twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 177 236 239 264 354 472 478 649 708 717 956 1298 1416 1434 1912 1947 2596 2629 2868 3894 5192 5258 5736 7788 7887 10516 14101 15576 15774 21032 28202 31548 42303 56404 63096 84606 112808 155111 169212 310222 338424 465333 620444 930666 1240888 1861332 3722664