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3293399352 = 2331959163751
BaseRepresentation
bin1100010001001101…
…0100100100111000
322111112010000120210
43010103110210320
523221102234402
61302444551120
7144420301245
oct30423244470
98445100523
103293399352
111440046751
1277ab524a0
13406410b19
1423357c5cc
151441ec06c
hexc44d4938

3293399352 has 128 divisors (see below), whose sum is σ = 8879616000. Its totient is φ = 1014768000.

The previous prime is 3293399339. The next prime is 3293399393. The reversal of 3293399352 is 2539933923.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4384977 + ... + 4385727.

It is an arithmetic number, because the mean of its divisors is an integer number (69372000).

Almost surely, 23293399352 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 3293399352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439808000).

3293399352 is an abundant number, since it is smaller than the sum of its proper divisors (5586216648).

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

3293399352 is a wasteful number, since it uses less digits than its factorization.

3293399352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 997 counting only the distinct ones).

The product of its digits is 1180980, while the sum is 48.

The square root of 3293399352 is about 57388.1464415780. The cubic root of 3293399352 is about 1487.8122559117.

The spelling of 3293399352 in words is "three billion, two hundred ninety-three million, three hundred ninety-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 59 76 114 118 152 163 177 228 236 326 354 456 472 489 652 708 751 978 1121 1304 1416 1502 1956 2242 2253 3004 3097 3363 3912 4484 4506 6008 6194 6726 8968 9012 9291 9617 12388 13452 14269 18024 18582 19234 24776 26904 28538 28851 37164 38468 42807 44309 57076 57702 74328 76936 85614 88618 114152 115404 122413 132927 171228 177236 182723 230808 244826 265854 342456 354472 365446 367239 489652 531708 548169 730892 734478 841871 979304 1063416 1096338 1461784 1468956 1683742 2192676 2325847 2525613 2937912 3367484 4385352 4651694 5051226 6734968 6977541 7222367 9303388 10102452 13955082 14444734 18606776 20204904 21667101 27910164 28889468 43334202 55820328 57778936 86668404 137224973 173336808 274449946 411674919 548899892 823349838 1097799784 1646699676 3293399352