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3202693328 = 242331535297
BaseRepresentation
bin1011111011100101…
…0011100011010000
322021012102200022102
42332321103203100
523024342141303
61245444455532
7142236305222
oct27671234320
98235380272
103202693328
1113a392299a
127546aa5a8
133c06a2713
142254ca412
1513b281288
hexbee538d0

3202693328 has 80 divisors (see below), whose sum is σ = 6811278336. Its totient is φ = 1454069760.

The previous prime is 3202693321. The next prime is 3202693343. The reversal of 3202693328 is 8233962023.

It is a junction number, because it is equal to n+sod(n) for n = 3202693291 and 3202693300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3202693321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601976 + ... + 607272.

Almost surely, 23202693328 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 3202693328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405639168).

3202693328 is an abundant number, since it is smaller than the sum of its proper divisors (3608585008).

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

3202693328 is a wasteful number, since it uses less digits than its factorization.

3202693328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5412 (or 5406 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The square root of 3202693328 is about 56592.3433690460. The cubic root of 3202693328 is about 1474.0259129035.

The spelling of 3202693328 in words is "three billion, two hundred two million, six hundred ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 23 31 46 53 62 92 106 124 184 212 248 368 424 496 713 848 1219 1426 1643 2438 2852 3286 4876 5297 5704 6572 9752 10594 11408 13144 19504 21188 26288 37789 42376 75578 84752 121831 151156 164207 243662 280741 302312 328414 487324 561482 604624 656828 974648 1122964 1313656 1949296 2245928 2627312 3776761 4491856 6457043 7553522 8702971 12914086 15107044 17405942 25828172 30214088 34811884 51656344 60428176 69623768 103312688 139247536 200168333 400336666 800673332 1601346664 3202693328