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3675978 = 2321741293
BaseRepresentation
bin1110000001011101001010
320220202111100
432001131022
51420112403
6210442230
743150065
oct16013512
96822440
103675978
1120908a9
121293376
139b9247
146b98dc
154c92a3
hex38174a

3675978 has 48 divisors (see below), whose sum is σ = 8668296. Its totient is φ = 1121280.

The previous prime is 3675977. The next prime is 3675983. The reversal of 3675978 is 8795763.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3448449 + 227529 = 1857^2 + 477^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3675977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12400 + ... + 12692.

Almost surely, 23675978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3675978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334148).

3675978 is an abundant number, since it is smaller than the sum of its proper divisors (4992318).

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

3675978 is a wasteful number, since it uses less digits than its factorization.

3675978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 356 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 3675978 is about 1917.2840165192. The cubic root of 3675978 is about 154.3325864348.

The spelling of 3675978 in words is "three million, six hundred seventy-five thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 17 18 34 41 51 82 102 123 153 246 293 306 369 586 697 738 879 1394 1758 2091 2637 4182 4981 5274 6273 9962 12013 12546 14943 24026 29886 36039 44829 72078 89658 108117 204221 216234 408442 612663 1225326 1837989 3675978