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3371472 = 2432131801
BaseRepresentation
bin1100110111000111010000
320100021210100
430313013100
51330341342
6200132400
740441236
oct14670720
96307710
103371472
1119a3045
121167100
13910770
1463a956
15468e4c
hex3371d0

3371472 has 60 divisors (see below), whose sum is σ = 10166884. Its totient is φ = 1036800.

The previous prime is 3371461. The next prime is 3371497. The reversal of 3371472 is 2741733.

3371472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 467856 + 2903616 = 684^2 + 1704^2 .

It is a super-2 number, since 2×33714722 = 22733646893568, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 972 + ... + 2772.

Almost surely, 23371472 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 3371472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5083442).

3371472 is an abundant number, since it is smaller than the sum of its proper divisors (6795412).

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

3371472 is a wasteful number, since it uses less digits than its factorization.

3371472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1819 counting only the distinct ones).

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

The square root of 3371472 is about 1836.1568560447. The cubic root of 3371472 is about 149.9477151107.

Adding to 3371472 its product of digits (3528), we get a cube (3375000 = 1503).

The spelling of 3371472 in words is "three million, three hundred seventy-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1801 1872 3602 5403 7204 10806 14408 16209 21612 23413 28816 32418 43224 46826 64836 70239 86448 93652 129672 140478 187304 210717 259344 280956 374608 421434 561912 842868 1123824 1685736 3371472