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3134378676 = 22311213473533
BaseRepresentation
bin1011101011010010…
…1101001010110100
322002102212221020010
42322310231022310
522404400104201
61235004340220
7140446531152
oct27264551264
98072787203
103134378676
111369303100
12735844670
133ac4a4050
1421a3c63d2
15135289bd6
hexbad2d2b4

3134378676 has 144 divisors (see below), whose sum is σ = 8843933952. Its totient is φ = 857852160.

The previous prime is 3134378651. The next prime is 3134378707. The reversal of 3134378676 is 6768734313.

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, 885406 + ... + 888938.

It is an arithmetic number, because the mean of its divisors is an integer number (61416208).

Almost surely, 23134378676 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 3134378676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421966976).

3134378676 is an abundant number, since it is smaller than the sum of its proper divisors (5709555276).

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

3134378676 is a wasteful number, since it uses less digits than its factorization.

3134378676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3609 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 48.

The square root of 3134378676 is about 55985.5220213226. The cubic root of 3134378676 is about 1463.4699905180.

The spelling of 3134378676 in words is "three billion, one hundred thirty-four million, three hundred seventy-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 47 52 66 78 94 121 132 141 143 156 188 242 282 286 363 429 484 517 564 572 611 726 858 1034 1222 1452 1551 1573 1716 1833 2068 2444 3102 3146 3533 3666 4719 5687 6204 6292 6721 7066 7332 9438 10599 11374 13442 14132 17061 18876 20163 21198 22748 26884 34122 38863 40326 42396 45929 68244 73931 77726 80652 91858 116589 137787 147862 155452 166051 183716 221793 233178 275574 295724 332102 427493 443586 466356 498153 505219 551148 664204 854986 887172 996306 1010438 1282479 1515657 1709972 1826561 1992612 2020876 2158663 2564958 3031314 3653122 4317326 5129916 5479683 5557409 6062628 6475989 7306244 8634652 10959366 11114818 12951978 16672227 20092171 21918732 22229636 23745293 25903956 33344454 40184342 47490586 60276513 66688908 71235879 80368684 94981172 120553026 142471758 241106052 261198223 284943516 522396446 783594669 1044792892 1567189338 3134378676