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3320427292 = 2271323613647
BaseRepresentation
bin1100010111101001…
…1011001100011100
322120101222011221121
43011322123030130
523300012133132
61305252140324
7145166111020
oct30572331434
98511864847
103320427292
111454327196
127880076a4
1340bbb50a0
14236db6380
1514678a497
hexc5e9b31c

3320427292 has 96 divisors (see below), whose sum is σ = 7486359552. Its totient is φ = 1252475136.

The previous prime is 3320427281. The next prime is 3320427349. The reversal of 3320427292 is 2927240233.

It is a super-2 number, since 2×33204272922 = 22050474802916906528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5131713 + ... + 5132359.

It is an arithmetic number, because the mean of its divisors is an integer number (77982912).

Almost surely, 23320427292 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 3320427292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3743179776).

3320427292 is an abundant number, since it is smaller than the sum of its proper divisors (4165932260).

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

3320427292 is a wasteful number, since it uses less digits than its factorization.

3320427292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 3320427292 is about 57623.1489247160. The cubic root of 3320427292 is about 1491.8711821594.

The spelling of 3320427292 in words is "three billion, three hundred twenty million, four hundred twenty-seven thousand, two hundred ninety-two".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 613 644 647 1196 1226 1294 2093 2452 2588 4186 4291 4529 7969 8372 8411 8582 9058 14099 14881 15938 16822 17164 18116 28198 29762 31876 33644 55783 56396 58877 59524 98693 104167 111566 117754 183287 193453 197386 208334 223132 235508 366574 386906 394772 396611 416668 733148 773812 793222 1283009 1354171 1586444 2566018 2708342 2776277 5132036 5155943 5416684 5552554 9122053 10311886 11105108 18244106 20623772 36091601 36488212 63854371 72183202 118586689 127708742 144366404 237173378 255417484 474346756 830106823 1660213646 3320427292