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3313412660 = 2251923253311
BaseRepresentation
bin1100010101111110…
…1010101000110100
322112220202210200102
43011133222220310
523241213201120
61304441533232
7145052354135
oct30537525064
98486683612
103313412660
111450375a78
127857a4218
1340a5ca30c
142360abc8c
15145d51d75
hexc57eaa34

3313412660 has 144 divisors (see below), whose sum is σ = 7826232960. Its totient is φ = 1174567680.

The previous prime is 3313412657. The next prime is 3313412671. The reversal of 3313412660 is 662143133.

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 47 ways as a sum of consecutive naturals, for example, 10653905 + ... + 10654215.

It is an arithmetic number, because the mean of its divisors is an integer number (54348840).

Almost surely, 23313412660 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 3313412660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913116480).

3313412660 is an abundant number, since it is smaller than the sum of its proper divisors (4512820300).

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

3313412660 is a wasteful number, since it uses less digits than its factorization.

3313412660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 3313412660 is about 57562.2503034758. The cubic root of 3313412660 is about 1490.8198811903.

Adding to 3313412660 its reverse (662143133), we get a palindrome (3975555793).

The spelling of 3313412660 in words is "three billion, three hundred thirteen million, four hundred twelve thousand, six hundred sixty".

Divisors: 1 2 4 5 10 19 20 23 38 46 53 76 92 95 106 115 190 212 230 265 311 380 437 460 529 530 622 874 1007 1058 1060 1219 1244 1555 1748 2014 2116 2185 2438 2645 3110 4028 4370 4876 5035 5290 5909 6095 6220 7153 8740 10051 10070 10580 11818 12190 14306 16483 20102 20140 23161 23636 24380 28037 28612 29545 32966 35765 40204 46322 50255 56074 59090 65932 71530 82415 92644 100510 112148 115805 118180 135907 140185 143060 164519 164830 201020 231610 271814 280370 313177 329038 329660 379109 463220 532703 543628 560740 626354 658076 679535 758218 822595 1065406 1252708 1359070 1516436 1565885 1645190 1895545 2130812 2663515 2718140 3125861 3131770 3290380 3791090 5327030 6251722 6263540 7203071 7582180 8719507 10654060 12503444 14406142 15629305 17439014 28812284 31258610 34878028 36015355 43597535 62517220 72030710 87195070 144061420 165670633 174390140 331341266 662682532 828353165 1656706330 3313412660