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3413472 = 25331237
BaseRepresentation
bin1101000001010111100000
320102102101220
431001113200
51333212342
6201055040
741004546
oct15012740
96372356
103413472
111a21657
121187480
1392690a
1464bd96
154765ec
hex3415e0

3413472 has 72 divisors (see below), whose sum is σ = 9508968. Its totient is φ = 1071360.

The previous prime is 3413437. The next prime is 3413489. The reversal of 3413472 is 2743143.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (2016) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92238 + ... + 92274.

It is an arithmetic number, because the mean of its divisors is an integer number (132069).

Almost surely, 23413472 is an apocalyptic number.

3413472 is a gapful number since it is divisible by the number (32) 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 3413472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754484).

3413472 is an abundant number, since it is smaller than the sum of its proper divisors (6095496).

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

3413472 is a wasteful number, since it uses less digits than its factorization.

3413472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 73 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 3413472 is about 1847.5583887932. The cubic root of 3413472 is about 150.5678035048.

The spelling of 3413472 in words is "three million, four hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 74 93 96 111 124 148 186 222 248 296 372 444 496 592 744 888 961 992 1147 1184 1488 1776 1922 2294 2883 2976 3441 3552 3844 4588 5766 6882 7688 9176 11532 13764 15376 18352 23064 27528 30752 35557 36704 46128 55056 71114 92256 106671 110112 142228 213342 284456 426684 568912 853368 1137824 1706736 3413472