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3620968 = 231337941
BaseRepresentation
bin1101110100000001101000
320210222000221
431310001220
51411332333
6205335424
742530521
oct15640150
96728027
103620968
11205353a
121267574
1399a1b0
146a3848
154b7d2d
hex374068

3620968 has 32 divisors (see below), whose sum is σ = 7517160. Its totient is φ = 1624320.

The previous prime is 3620957. The next prime is 3620977. The reversal of 3620968 is 8690263.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3305124 + 315844 = 1818^2 + 562^2 .

It is a super-2 number, since 2×36209682 = 26222818514048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3378 + ... + 4318.

Almost surely, 23620968 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 3620968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758580).

3620968 is an abundant number, since it is smaller than the sum of its proper divisors (3896192).

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

3620968 is a wasteful number, since it uses less digits than its factorization.

3620968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 3620968 is about 1902.8841267928. The cubic root of 3620968 is about 153.5588657575.

The spelling of 3620968 in words is "three million, six hundred twenty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 941 962 1882 1924 3764 3848 7528 12233 24466 34817 48932 69634 97864 139268 278536 452621 905242 1810484 3620968