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3344952 = 2331371151
BaseRepresentation
bin1100110000101000111000
320021221102010
430300220320
51324014302
6155405520
740301022
oct14605070
96257363
103344952
111985126
1211538a0
13901680
14631012
1546116c
hex330a38

3344952 has 64 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 1008000.

The previous prime is 3344951. The next prime is 3344977. The reversal of 3344952 is 2594433.

3344952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33449522 = 22377407764608, which contains 22 as substring.

Its product of digits (12960) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344951) 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, 22077 + ... + 22227.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 23344952 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 3344952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

3344952 is an abundant number, since it is smaller than the sum of its proper divisors (5848008).

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

3344952 is a wasteful number, since it uses less digits than its factorization.

3344952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 240 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 3344952 is about 1828.9209933729. The cubic root of 3344952 is about 149.5535167813.

The spelling of 3344952 in words is "three million, three hundred forty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 104 142 151 156 213 284 302 312 426 453 568 604 852 906 923 1208 1704 1812 1846 1963 2769 3624 3692 3926 5538 5889 7384 7852 10721 11076 11778 15704 21442 22152 23556 32163 42884 47112 64326 85768 128652 139373 257304 278746 418119 557492 836238 1114984 1672476 3344952