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3328040 = 2351929151
BaseRepresentation
bin1100101100100000101000
320021002012202
430230200220
51322444130
6155155332
740200512
oct14544050
96232182
103328040
111973451
121145b48
138c6a71
14628bb2
1545b145
hex32c828

3328040 has 64 divisors (see below), whose sum is σ = 8208000. Its totient is φ = 1209600.

The previous prime is 3328037. The next prime is 3328043. The reversal of 3328040 is 408233.

It is an interprime number because it is at equal distance from previous prime (3328037) and next prime (3328043).

It is a super-2 number, since 2×33280402 = 22151700483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3328043) 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, 21965 + ... + 22115.

It is an arithmetic number, because the mean of its divisors is an integer number (128250).

Almost surely, 23328040 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 3328040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104000).

3328040 is an abundant number, since it is smaller than the sum of its proper divisors (4879960).

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

3328040 is a wasteful number, since it uses less digits than its factorization.

3328040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3328040 is about 1824.2916433509. The cubic root of 3328040 is about 149.3010444291.

The spelling of 3328040 in words is "three million, three hundred twenty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 151 152 190 232 290 302 380 551 580 604 755 760 1102 1160 1208 1510 2204 2755 2869 3020 4379 4408 5510 5738 6040 8758 11020 11476 14345 17516 21895 22040 22952 28690 35032 43790 57380 83201 87580 114760 166402 175160 332804 416005 665608 832010 1664020 3328040