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3425472 = 263219313
BaseRepresentation
bin1101000100010011000000
320110000212100
431010103000
51334103342
6201230400
741054541
oct15042300
96400770
103425472
111a2a676
121192400
1392c20b
146524c8
15479e4c
hex3444c0

3425472 has 84 divisors (see below), whose sum is σ = 10368280. Its totient is φ = 1078272.

The previous prime is 3425467. The next prime is 3425473. The reversal of 3425472 is 2745243.

It is not an unprimeable number, because it can be changed into a prime (3425473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10788 + ... + 11100.

Almost surely, 23425472 is an apocalyptic number.

3425472 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 3425472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184140).

3425472 is an abundant number, since it is smaller than the sum of its proper divisors (6942808).

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

3425472 is a wasteful number, since it uses less digits than its factorization.

3425472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 337 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 3425472 is about 1850.8030689406. The cubic root of 3425472 is about 150.7440366279.

It can be divided in two parts, 342 and 5472, that multiplied together give a square (1871424 = 13682).

The spelling of 3425472 in words is "three million, four hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 313 342 456 576 608 626 684 912 939 1216 1252 1368 1824 1878 2504 2736 2817 3648 3756 5008 5472 5634 5947 7512 10016 10944 11268 11894 15024 17841 20032 22536 23788 30048 35682 45072 47576 53523 60096 71364 90144 95152 107046 142728 180288 190304 214092 285456 380608 428184 570912 856368 1141824 1712736 3425472