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3332970 = 2325291277
BaseRepresentation
bin1100101101101101101010
320021022222100
430231231222
51323123340
6155234230
740221054
oct14555552
96238870
103332970
111977123
121148976
138c9094
1462a8d4
1545c830
hex32db6a

3332970 has 48 divisors (see below), whose sum is σ = 8971560. Its totient is φ = 857472.

The previous prime is 3332963. The next prime is 3332983. The reversal of 3332970 is 792333.

It can be written as a sum of positive squares in 4 ways, for example, as 2893401 + 439569 = 1701^2 + 663^2 .

It is a super-2 number, since 2×33329702 = 22217378041800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1972 + ... + 3248.

Almost surely, 23332970 is an apocalyptic number.

3332970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3332970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485780).

3332970 is an abundant number, since it is smaller than the sum of its proper divisors (5638590).

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

3332970 is a wasteful number, since it uses less digits than its factorization.

3332970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 3332970 is about 1825.6423527077. The cubic root of 3332970 is about 149.3747305423.

The spelling of 3332970 in words is "three million, three hundred thirty-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1277 1305 2554 2610 3831 6385 7662 11493 12770 19155 22986 37033 38310 57465 74066 111099 114930 185165 222198 333297 370330 555495 666594 1110990 1666485 3332970