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3420031692 = 22371119210253
BaseRepresentation
bin1100101111011001…
…1000101011001100
322211100101121111110
43023312120223030
524001012003232
61323211052020
7150515534610
oct31366305314
98740347443
103420031692
1114a5578480
127b5441010
1342671a7bc
14246303340
151503b2acc
hexcbd98acc

3420031692 has 144 divisors (see below), whose sum is σ = 10501408512. Its totient is φ = 841484160.

The previous prime is 3420031679. The next prime is 3420031733. The reversal of 3420031692 is 2961300243.

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, 328438 + ... + 338690.

It is an arithmetic number, because the mean of its divisors is an integer number (72926448).

Almost surely, 23420031692 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 3420031692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5250704256).

3420031692 is an abundant number, since it is smaller than the sum of its proper divisors (7081376820).

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

3420031692 is a wasteful number, since it uses less digits than its factorization.

3420031692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10316 (or 10295 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3420031692 is about 58481.0370291088. The cubic root of 3420031692 is about 1506.6419084044.

The spelling of 3420031692 in words is "three billion, four hundred twenty million, thirty-one thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 361 399 418 462 532 627 722 798 836 924 1083 1254 1444 1463 1596 2166 2508 2527 2926 3971 4332 4389 5054 5852 7581 7942 8778 10108 10253 11913 15162 15884 17556 20506 23826 27797 30324 30759 41012 47652 55594 61518 71771 83391 111188 112783 123036 143542 166782 194807 215313 225566 287084 333564 338349 389614 430626 451132 584421 676698 779228 789481 861252 1168842 1353396 1363649 1578962 2142877 2337684 2368443 2727298 3157924 3701333 4090947 4285754 4736886 5454596 6428631 7402666 8181894 8571508 9473772 11103999 12857262 14805332 15000139 16363788 22207998 25714524 25909331 30000278 40714663 44415996 45000417 51818662 60000556 77727993 81429326 90000834 103637324 122143989 155455986 162858652 180001668 244287978 285002641 310911972 488575956 570005282 855007923 1140010564 1710015846 3420031692