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3407272 = 2311311249
BaseRepresentation
bin1100111111110110101000
320102002220021
430333312220
51333013042
6201010224
740650511
oct14776650
96362807
103407272
111a17a30
121183974
13923b4b
14649a08
15474867
hex33fda8

3407272 has 32 divisors (see below), whose sum is σ = 7200000. Its totient is φ = 1497600.

The previous prime is 3407267. The next prime is 3407273. The reversal of 3407272 is 2727043.

It is not an unprimeable number, because it can be changed into a prime (3407273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2104 + ... + 3352.

It is an arithmetic number, because the mean of its divisors is an integer number (225000).

Almost surely, 23407272 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 3407272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600000).

3407272 is an abundant number, since it is smaller than the sum of its proper divisors (3792728).

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

3407272 is a wasteful number, since it uses less digits than its factorization.

3407272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 25.

The square root of 3407272 is about 1845.8797360608. The cubic root of 3407272 is about 150.4765878601.

The spelling of 3407272 in words is "three million, four hundred seven thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1249 1364 2498 2728 4996 9992 13739 27478 38719 54956 77438 109912 154876 309752 425909 851818 1703636 3407272