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3430112606316 = 22321143201439547
BaseRepresentation
bin110001111010100010101…
…001001011100001101100
3110010220201110000112122100
4301322202221023201230
5422144332311400231
611143434425215100
7502550250042204
oct61724251134154
913126643015570
103430112606316
111102780163980
12474941931490
131bb5c596ba96
14bc038457404
155e359aab1e6
hex31ea2a4b86c

3430112606316 has 72 divisors (see below), whose sum is σ = 9678767402304. Its totient is φ = 1015255311840.

The previous prime is 3430112606269. The next prime is 3430112606339. The reversal of 3430112606316 is 6136062110343.

3430112606316 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 1 + 12 + 6 + 0 + 631 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100702746 + ... + 100736801.

It is an arithmetic number, because the mean of its divisors is an integer number (134427325032).

Almost surely, 23430112606316 is an apocalyptic number.

3430112606316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3430112606316 is an abundant number, since it is smaller than the sum of its proper divisors (6248654795988).

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

3430112606316 is a wasteful number, since it uses less digits than its factorization.

3430112606316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201439611 (or 201439606 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 3430112606316 its reverse (6136062110343), we get a palindrome (9566174716659).

The spelling of 3430112606316 in words is "three trillion, four hundred thirty billion, one hundred twelve million, six hundred six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 774 946 1419 1548 1892 2838 4257 5676 8514 17028 201439547 402879094 604318641 805758188 1208637282 1812955923 2215835017 2417274564 3625911846 4431670034 6647505051 7251823692 8661900521 8863340068 13295010102 17323801042 19942515153 25985701563 26590020204 34647602084 39885030306 51971403126 77957104689 79770060612 95280905731 103942806252 155914209378 190561811462 285842717193 311828418756 381123622924 571685434386 857528151579 1143370868772 1715056303158 3430112606316