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3324672 = 28331337
BaseRepresentation
bin1100101011101100000000
320020220121000
430223230000
51322342142
6155132000
740154631
oct14535400
96226530
103324672
11197096a
121144000
138c5380
14627888
1545a14c
hex32bb00

3324672 has 144 divisors (see below), whose sum is σ = 10874080. Its totient is φ = 995328.

The previous prime is 3324661. The next prime is 3324679. The reversal of 3324672 is 2764233.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33246722 = 22106887815168, which contains 22 as substring.

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

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3324679) 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, 89838 + ... + 89874.

Almost surely, 23324672 is an apocalyptic number.

3324672 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 3324672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437040).

3324672 is an abundant number, since it is smaller than the sum of its proper divisors (7549408).

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

3324672 is a wasteful number, since it uses less digits than its factorization.

3324672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 55 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 3324672 is about 1823.3683116694. The cubic root of 3324672 is about 149.2506628591.

The spelling of 3324672 in words is "three million, three hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 37 39 48 52 54 64 72 74 78 96 104 108 111 117 128 144 148 156 192 208 216 222 234 256 288 296 312 333 351 384 416 432 444 468 481 576 592 624 666 702 768 832 864 888 936 962 999 1152 1184 1248 1332 1404 1443 1664 1728 1776 1872 1924 1998 2304 2368 2496 2664 2808 2886 3328 3456 3552 3744 3848 3996 4329 4736 4992 5328 5616 5772 6912 7104 7488 7696 7992 8658 9472 9984 10656 11232 11544 12987 14208 14976 15392 15984 17316 21312 22464 23088 25974 28416 29952 30784 31968 34632 42624 44928 46176 51948 61568 63936 69264 85248 89856 92352 103896 123136 127872 138528 184704 207792 255744 277056 369408 415584 554112 831168 1108224 1662336 3324672