Search a number
-
+
34104316116 = 223137918115289
BaseRepresentation
bin11111110000110001…
…101001000011010100
310021000210021202122010
4133300301221003110
51024321201103431
623400045504220
72315064622023
oct376061510324
9107023252563
1034104316116
1113510aa7522
126739572070
1332a67aba10
1419175948ba
15d49107846
hex7f0c690d4

34104316116 has 96 divisors (see below), whose sum is σ = 87267980800. Its totient is φ = 10302888960.

The previous prime is 34104316111. The next prime is 34104316157. The reversal of 34104316116 is 61161340143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34104316111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2223000 + ... + 2238288.

Almost surely, 234104316116 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 34104316116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43633990400).

34104316116 is an abundant number, since it is smaller than the sum of its proper divisors (53163664684).

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

34104316116 is a wasteful number, since it uses less digits than its factorization.

34104316116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15569 (or 15567 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 34104316116 its reverse (61161340143), we get a palindrome (95265656259).

The spelling of 34104316116 in words is "thirty-four billion, one hundred four million, three hundred sixteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 79 156 158 181 237 316 362 474 543 724 948 1027 1086 2054 2172 2353 3081 4108 4706 6162 7059 9412 12324 14118 14299 15289 28236 28598 30578 42897 45867 57196 61156 85794 91734 171588 183468 185887 198757 371774 397514 557661 596271 743548 795028 1115322 1192542 1207831 2230644 2385084 2415662 2767309 3623493 4831324 5534618 7246986 8301927 11069236 14493972 15701803 16603854 31403606 33207708 35975017 47105409 62807212 71950034 94210818 107925051 143900068 188421636 215850102 218617411 431700204 437234822 655852233 874469644 1311704466 2623408932 2842026343 5684052686 8526079029 11368105372 17052158058 34104316116