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3472956 = 2237397
BaseRepresentation
bin1101001111111000111100
320112110000000
431033320330
51342113311
6202234300
741343144
oct15177074
96473000
103472956
111a62313
1211b5990
13947a06
14665924
15489056
hex34fe3c

3472956 has 48 divisors (see below), whose sum is σ = 9138080. Its totient is φ = 1154736.

The previous prime is 3472951. The next prime is 3472957. The reversal of 3472956 is 6592743.

It is a super-2 number, since 2×34729562 = 24122846755872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3472956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3472951) 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, 8550 + ... + 8946.

Almost surely, 23472956 is an apocalyptic number.

3472956 is a gapful number since it is divisible by the number (36) 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 3472956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569040).

3472956 is an abundant number, since it is smaller than the sum of its proper divisors (5665124).

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

3472956 is an equidigital number, since it uses as much as digits as its factorization.

3472956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 402 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3472956 is about 1863.5868640876. The cubic root of 3472956 is about 151.4373822197.

The spelling of 3472956 in words is "three million, four hundred seventy-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 397 486 729 794 972 1191 1458 1588 2187 2382 2916 3573 4374 4764 7146 8748 10719 14292 21438 32157 42876 64314 96471 128628 192942 289413 385884 578826 868239 1157652 1736478 3472956