Search a number
-
+
34902310716 = 223271334730703
BaseRepresentation
bin100000100000010101…
…101111111100111100
310100002101212002102200
4200200111233330330
51032434442420331
624011153351500
72343624513630
oct404025577474
9110071762380
1034902310716
1113890498699
126920868590
1333a2c0bb80
14199155adc0
15d941d55e6
hex82056ff3c

34902310716 has 144 divisors (see below), whose sum is σ = 108901438464. Its totient is φ = 9178178688.

The previous prime is 34902310697. The next prime is 34902310739. The reversal of 34902310716 is 61701320943.

34902310716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1121421 + ... + 1152123.

Almost surely, 234902310716 is an apocalyptic number.

34902310716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34902310716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54450719232).

34902310716 is an abundant number, since it is smaller than the sum of its proper divisors (73999127748).

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

34902310716 is a wasteful number, since it uses less digits than its factorization.

34902310716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31080 (or 31075 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 34902310716 in words is "thirty-four billion, nine hundred two million, three hundred ten thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 347 364 468 546 694 819 1041 1092 1388 1638 2082 2429 3123 3276 4164 4511 4858 6246 7287 9022 9716 12492 13533 14574 18044 21861 27066 29148 30703 31577 40599 43722 54132 61406 63154 81198 87444 92109 94731 122812 126308 162396 184218 189462 214921 276327 284193 368436 378924 399139 429842 552654 568386 644763 798278 859684 1105308 1136772 1197417 1289526 1596556 1934289 2394834 2579052 2793973 3592251 3868578 4789668 5587946 7184502 7737156 8381919 10653941 11175892 14369004 16763838 21307882 25145757 31961823 33527676 42615764 50291514 63923646 74577587 95885469 100583028 127847292 138501233 149155174 191770938 223732761 277002466 298310348 383541876 415503699 447465522 554004932 671198283 831007398 894931044 969508631 1246511097 1342396566 1662014796 1939017262 2493022194 2684793132 2908525893 3878034524 4986044388 5817051786 8725577679 11634103572 17451155358 34902310716