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3297672 = 23347727
BaseRepresentation
bin1100100101000110001000
320012112120000
430211012020
51321011142
6154403000
740013130
oct14450610
96175500
103297672
111952654
121130460
138b5cb1
1461bac0
1545214c
hex325188

3297672 has 80 divisors (see below), whose sum is σ = 10570560. Its totient is φ = 940896.

The previous prime is 3297647. The next prime is 3297683. The reversal of 3297672 is 2767923.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4173 + ... + 4899.

It is an arithmetic number, because the mean of its divisors is an integer number (132132).

Almost surely, 23297672 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 3297672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285280).

3297672 is an abundant number, since it is smaller than the sum of its proper divisors (7272888).

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

3297672 is a wasteful number, since it uses less digits than its factorization.

3297672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 739 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 3297672 is about 1815.9493385004. The cubic root of 3297672 is about 148.8455375715.

It can be divided in two parts, 3297 and 672, that added together give a square (3969 = 632).

The spelling of 3297672 in words is "three million, two hundred ninety-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 727 756 1134 1454 1512 2181 2268 2908 4362 4536 5089 5816 6543 8724 10178 13086 15267 17448 19629 20356 26172 30534 39258 40712 45801 52344 58887 61068 78516 91602 117774 122136 137403 157032 183204 235548 274806 366408 412209 471096 549612 824418 1099224 1648836 3297672