Search a number
-
+
34701213756 = 223111727091283
BaseRepresentation
bin100000010100010110…
…101000000000111100
310022120101110022021010
4200110112220000330
51032032002320011
623535211235220
72335633310256
oct402426500074
9108511408233
1034701213756
1113797a26560
126885448b10
13337035c4a1
141972970cd6
15d817111a6
hex8145a803c

34701213756 has 144 divisors (see below), whose sum is σ = 94037489280. Its totient is φ = 9875297280.

The previous prime is 34701213737. The next prime is 34701213761. The reversal of 34701213756 is 65731210743.

It is a super-2 number, since 2×347012137562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27046291 + ... + 27047573.

It is an arithmetic number, because the mean of its divisors is an integer number (653038120).

Almost surely, 234701213756 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 34701213756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47018744640).

34701213756 is an abundant number, since it is smaller than the sum of its proper divisors (59336275524).

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

34701213756 is a wasteful number, since it uses less digits than its factorization.

34701213756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 34701213756 in words is "thirty-four billion, seven hundred one million, two hundred thirteen thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 289 374 561 578 709 748 867 1122 1156 1283 1418 1734 2127 2244 2566 2836 3179 3468 3849 4254 5132 6358 7698 7799 8508 9537 12053 12716 14113 15396 15598 19074 21811 23397 24106 28226 31196 36159 38148 42339 43622 46794 48212 56452 65433 72318 84678 87244 93588 130866 132583 144636 169356 204901 239921 261732 265166 370787 397749 409802 479842 530332 614703 719763 741574 795498 819604 909647 959684 1112361 1229406 1439526 1483148 1590996 1819294 2224722 2253911 2458812 2728941 2879052 3638588 4078657 4449444 4507822 5457882 6761733 8157314 9015644 10006117 10915764 12235971 13523466 15463999 16314628 20012234 24471942 27046932 30018351 30927998 40024468 46391997 48943884 60036702 61855996 92783994 120073404 170103989 185567988 262887983 340207978 510311967 525775966 680415956 788663949 1020623934 1051551932 1577327898 2041247868 2891767813 3154655796 5783535626 8675303439 11567071252 17350606878 34701213756