Search a number
-
+
34740457021212 = 22335952182918671
BaseRepresentation
bin1111110011000101001001…
…00110011001111100011100
311120000011012011220110220020
413321202210212121330130
514023141423444134322
6201515313504552140
710213625624261115
oct771424446317434
9146004164813806
1034740457021212
1110084388341138
123a90b24922650
13165001b341907
14881638b6720c
15403a2b9ec05c
hex1f98a4999f1c

34740457021212 has 96 divisors (see below), whose sum is σ = 81545493657600. Its totient is φ = 11511211046400.

The previous prime is 34740457021211. The next prime is 34740457021213. The reversal of 34740457021212 is 21212075404743.

It is an interprime number because it is at equal distance from previous prime (34740457021211) and next prime (34740457021213).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34740457021211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1860654637 + ... + 1860673307.

It is an arithmetic number, because the mean of its divisors is an integer number (849432225600).

Almost surely, 234740457021212 is an apocalyptic number.

It is an amenable number.

34740457021212 is an abundant number, since it is smaller than the sum of its proper divisors (46805036636388).

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

34740457021212 is a wasteful number, since it uses less digits than its factorization.

34740457021212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20387 (or 20385 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 34740457021212 in words is "thirty-four trillion, seven hundred forty billion, four hundred fifty-seven million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 359 521 718 829 1042 1077 1436 1563 1658 2084 2154 2487 3126 3316 4308 4974 6252 9948 18671 37342 56013 74684 112026 187039 224052 297611 374078 431909 561117 595222 748156 863818 892833 1122234 1190444 1295727 1727636 1785666 2244468 2591454 3571332 5182908 6702889 9727591 13405778 15478259 19455182 20108667 26811556 29182773 30956518 38910364 40217334 46434777 58365546 61913036 80434668 92869554 116731092 155055331 185739108 310110662 465165993 620221324 930331986 1860663972 3492205169 5556694981 6984410338 8064172939 10476615507 11113389962 13968820676 16128345878 16670084943 20953231014 22226779924 24192518817 32256691756 33340169886 41906462028 48385037634 66680339772 96770075268 2895038085101 5790076170202 8685114255303 11580152340404 17370228510606 34740457021212