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3413772 = 223373433
BaseRepresentation
bin1101000001011100001100
320102102211000
431001130030
51333220042
6201100300
741005455
oct15013414
96372730
103413772
111a218aa
121187690
13926aab
1464c12c
1547674c
hex34170c

3413772 has 48 divisors (see below), whose sum is σ = 8992480. Its totient is φ = 1119744.

The previous prime is 3413759. The next prime is 3413779. The reversal of 3413772 is 2773143.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3413779) 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, 7668 + ... + 8100.

Almost surely, 23413772 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 3413772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496240).

3413772 is an abundant number, since it is smaller than the sum of its proper divisors (5578708).

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

3413772 is a wasteful number, since it uses less digits than its factorization.

3413772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 511 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 3413772 is about 1847.6395752419. The cubic root of 3413772 is about 150.5722143625.

The spelling of 3413772 in words is "three million, four hundred thirteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 433 438 657 866 876 1299 1314 1732 1971 2598 2628 3897 3942 5196 7794 7884 11691 15588 23382 31609 46764 63218 94827 126436 189654 284481 379308 568962 853443 1137924 1706886 3413772