Search a number
-
+
3345006632 = 23111721110597
BaseRepresentation
bin1100011101100000…
…1100000000101000
322122010012221110112
43013120030000220
523322310203012
61311531033452
7145615041632
oct30730140050
98563187415
103345006632
111467194aa0
1279429b888
1341400c986
1423a373a52
151489e3122
hexc760c028

3345006632 has 64 divisors (see below), whose sum is σ = 7279554240. Its totient is φ = 1424102400.

The previous prime is 3345006631. The next prime is 3345006647. The reversal of 3345006632 is 2366005433.

It is a super-2 number, since 2×33450066322 = 22378138736247966848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3345006631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310358 + ... + 320954.

It is an arithmetic number, because the mean of its divisors is an integer number (113743035).

Almost surely, 23345006632 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 3345006632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639777120).

3345006632 is an abundant number, since it is smaller than the sum of its proper divisors (3934547608).

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

3345006632 is a wasteful number, since it uses less digits than its factorization.

3345006632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10842 (or 10838 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

The square root of 3345006632 is about 57836.0322982135. The cubic root of 3345006632 is about 1495.5433097963.

The spelling of 3345006632 in words is "three billion, three hundred forty-five million, six thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 211 374 422 748 844 1496 1688 2321 3587 4642 7174 9284 10597 14348 18568 21194 28696 39457 42388 78914 84776 116567 157828 180149 233134 315656 360298 466268 720596 932536 1441192 1981639 2235967 3963278 4471934 7926556 8943868 15853112 17887736 24595637 38011439 49191274 76022878 98382548 152045756 196765096 304091512 418125829 836251658 1672503316 3345006632