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3283640325 = 3252719197557
BaseRepresentation
bin1100001110111000…
…0110000000000101
322110211202012201100
43003232012000011
523211102442300
61301455450313
7144241324260
oct30356060005
98424665640
103283640325
111435590639
12777826999
134043a4b54
1423215bcd7
15143420700
hexc3b86005

3283640325 has 144 divisors (see below), whose sum is σ = 7124008320. Its totient is φ = 1412328960.

The previous prime is 3283640317. The next prime is 3283640377. The reversal of 3283640325 is 5230463823.

It is a happy number.

3283640325 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 640 + 3 + 2 + 5 = 666.

It is not a de Polignac number, because 3283640325 - 23 = 3283640317 is a prime.

It is a super-2 number, since 2×32836403252 = 21564587567932211250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3283640325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5894947 + ... + 5895503.

It is an arithmetic number, because the mean of its divisors is an integer number (49472280).

Almost surely, 23283640325 is an apocalyptic number.

3283640325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3283640325 is an abundant number, since it is smaller than the sum of its proper divisors (3840367995).

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

3283640325 is a wasteful number, since it uses less digits than its factorization.

3283640325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3283640325 is about 57303.0568556338. The cubic root of 3283640325 is about 1486.3412362944.

The spelling of 3283640325 in words is "three billion, two hundred eighty-three million, six hundred forty thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 57 63 75 95 105 133 171 175 197 225 285 315 399 475 525 557 591 665 855 985 1197 1379 1425 1575 1671 1773 1995 2785 2955 3325 3743 3899 4137 4275 4925 5013 5985 6895 8355 8865 9975 10583 11229 11697 12411 13925 14775 18715 19495 20685 25065 26201 29925 31749 33687 34475 35091 41775 44325 52915 56145 58485 62055 74081 78603 93575 95247 97475 103425 109729 125325 131005 158745 168435 175455 222243 235809 264575 280725 292425 310275 329187 370405 393015 476235 548645 655025 666729 768103 793725 842175 877275 987561 1111215 1179045 1645935 1852025 1965075 2084851 2304309 2381175 2743225 3333645 3840515 4937805 5556075 5895225 6254553 6912927 8229675 10424255 11521545 14593957 16668225 18763659 19202575 24689025 31272765 34564635 43781871 52121275 57607725 72969785 93818295 131345613 156363825 172823175 218909355 364848925 469091475 656728065 1094546775 3283640325