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3722976 = 253331139
BaseRepresentation
bin1110001100111011100000
321000010222000
432030323200
51423113401
6211444000
743434105
oct16147340
97003860
103722976
112113144
1212b6600
13a0475a
146ccaac
154d8186
hex38cee0

3722976 has 96 divisors (see below), whose sum is σ = 11289600. Its totient is φ = 1192320.

The previous prime is 3722951. The next prime is 3723001. The reversal of 3722976 is 6792273.

3722976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3722951) and next prime (3723001).

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (31752) is a multiple of the sum of its prime factors (189).

It is a self number, because there is not a number n which added to its sum of digits gives 3722976.

It is a congruent number.

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, 26715 + ... + 26853.

It is an arithmetic number, because the mean of its divisors is an integer number (117600).

Almost surely, 23722976 is an apocalyptic number.

3722976 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 3722976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644800).

3722976 is an abundant number, since it is smaller than the sum of its proper divisors (7566624).

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

3722976 is a wasteful number, since it uses less digits than its factorization.

3722976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 3722976 is about 1929.5014900227. The cubic root of 3722976 is about 154.9875258779.

The spelling of 3722976 in words is "three million, seven hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 139 144 186 216 248 278 279 288 372 417 432 496 556 558 744 834 837 864 992 1112 1116 1251 1488 1668 1674 2224 2232 2502 2976 3336 3348 3753 4309 4448 4464 5004 6672 6696 7506 8618 8928 10008 12927 13344 13392 15012 17236 20016 25854 26784 30024 34472 38781 40032 51708 60048 68944 77562 103416 116343 120096 137888 155124 206832 232686 310248 413664 465372 620496 930744 1240992 1861488 3722976