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3319940 = 225131132
BaseRepresentation
bin1100101010100010000100
320020200002202
430222202010
51322214230
6155054032
740135061
oct14524204
96220082
103319940
111968358
121141318
138c3180
14625c68
15458a45
hex32a884

3319940 has 36 divisors (see below), whose sum is σ = 7575204. Its totient is φ = 1214976.

The previous prime is 3319937. The next prime is 3319951. The reversal of 3319940 is 499133.

It can be written as a sum of positive squares in 6 ways, for example, as 2096704 + 1223236 = 1448^2 + 1106^2 .

It is a super-2 number, since 2×33199402 = 22044003207200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29324 + ... + 29436.

Almost surely, 23319940 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 3319940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3787602).

3319940 is an abundant number, since it is smaller than the sum of its proper divisors (4255264).

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

3319940 is a wasteful number, since it uses less digits than its factorization.

3319940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 3319940 is about 1822.0702511155. The cubic root of 3319940 is about 149.1798198334.

The spelling of 3319940 in words is "three million, three hundred nineteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 1130 1469 2260 2938 5876 7345 12769 14690 25538 29380 51076 63845 127690 165997 255380 331994 663988 829985 1659970 3319940