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3290376024 = 23321310932251
BaseRepresentation
bin1100010000011111…
…0010011101011000
322111022102102100200
43010013302131120
523214314013044
61302300102200
7144352510005
oct30407623530
98438372320
103290376024
111439371231
12779b34960
134058c2980
14232dd28ac
15143d01369
hexc41f2758

3290376024 has 96 divisors (see below), whose sum is σ = 9685275600. Its totient is φ = 1003104000.

The previous prime is 3290376017. The next prime is 3290376041. The reversal of 3290376024 is 4206730923.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3290376024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85899 + ... + 118149.

Almost surely, 23290376024 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 3290376024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842637800).

3290376024 is an abundant number, since it is smaller than the sum of its proper divisors (6394899576).

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

3290376024 is a wasteful number, since it uses less digits than its factorization.

3290376024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32385 (or 32378 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3290376024 is about 57361.7993441628. The cubic root of 3290376024 is about 1487.3568478768.

The spelling of 3290376024 in words is "three billion, two hundred ninety million, three hundred seventy-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 109 117 156 218 234 312 327 436 468 654 872 936 981 1308 1417 1962 2616 2834 3924 4251 5668 7848 8502 11336 12753 17004 25506 32251 34008 51012 64502 96753 102024 129004 193506 258008 290259 387012 419263 580518 774024 838526 1161036 1257789 1677052 2322072 2515578 3354104 3515359 3773367 5031156 7030718 7546734 10062312 10546077 14061436 15093468 21092154 28122872 30186936 31638231 42184308 45699667 63276462 84368616 91399334 126552924 137099001 182798668 253105848 274198002 365597336 411297003 548396004 822594006 1096792008 1645188012 3290376024