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3339040 = 25541509
BaseRepresentation
bin1100101111001100100000
320021122022011
430233030200
51323322130
6155322304
740244545
oct14571440
96248264
103339040
111980741
121150394
138cba83
1462cbcc
1545e52a
hex32f320

3339040 has 48 divisors (see below), whose sum is σ = 8096760. Its totient is φ = 1300480.

The previous prime is 3339029. The next prime is 3339043. The reversal of 3339040 is 409333.

It can be written as a sum of positive squares in 4 ways, for example, as 2347024 + 992016 = 1532^2 + 996^2 .

It is a super-2 number, since 2×33390402 = 22298376243200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3339043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6306 + ... + 6814.

Almost surely, 23339040 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 3339040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048380).

3339040 is an abundant number, since it is smaller than the sum of its proper divisors (4757720).

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

3339040 is a wasteful number, since it uses less digits than its factorization.

3339040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 3339040 is about 1827.3040250599. The cubic root of 3339040 is about 149.4653558945.

The spelling of 3339040 in words is "three million, three hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 509 656 820 1018 1312 1640 2036 2545 3280 4072 5090 6560 8144 10180 16288 20360 20869 40720 41738 81440 83476 104345 166952 208690 333904 417380 667808 834760 1669520 3339040