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342165374000 = 24532919872969
BaseRepresentation
bin1001111101010101010…
…01010100010000110000
31012201012002111221221122
410332222221110100300
521101223313432000
6421104423241412
733502114456022
oct4765251242060
91181162457848
10342165374000
1112212548492a
12563925a9268
132635c6ab058
14127bd136012
158d79323085
hex4faaa54430

342165374000 has 160 divisors (see below), whose sum is σ = 856604548800. Its totient is φ = 132035635200.

The previous prime is 342165373999. The next prime is 342165374003. The reversal of 342165374000 is 473561243.

It is not an unprimeable number, because it can be changed into a prime (342165374003) 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, 115244516 + ... + 115247484.

It is an arithmetic number, because the mean of its divisors is an integer number (5353778430).

Almost surely, 2342165374000 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 342165374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428302274400).

342165374000 is an abundant number, since it is smaller than the sum of its proper divisors (514439174800).

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

342165374000 is a wasteful number, since it uses less digits than its factorization.

342165374000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 342165374000 in words is "three hundred forty-two billion, one hundred sixty-five million, three hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 725 1000 1160 1450 1987 2000 2320 2900 2969 3625 3974 5800 5938 7250 7948 9935 11600 11876 14500 14845 15896 19870 23752 29000 29690 31792 39740 47504 49675 57623 58000 59380 74225 79480 86101 99350 115246 118760 148450 158960 172202 198700 230492 237520 248375 288115 296900 344404 371125 397400 430505 460984 496750 576230 593800 688808 742250 794800 861010 921968 993500 1152460 1187600 1377616 1440575 1484500 1722020 1987000 2152525 2304920 2881150 2969000 3444040 3974000 4305050 4609840 5762300 5899403 5938000 6888080 7202875 8610100 10762625 11524600 11798806 14405750 17220200 21525250 23049200 23597612 28811500 29497015 34440400 43050500 47195224 57623000 58994030 86101000 94390448 115246000 117988060 147485075 171082687 172202000 235976120 294970150 342165374 471952240 589940300 684330748 737425375 855413435 1179880600 1368661496 1474850750 1710826870 2359761200 2737322992 2949701500 3421653740 4277067175 5899403000 6843307480 8554134350 11798806000 13686614960 17108268700 21385335875 34216537400 42770671750 68433074800 85541343500 171082687000 342165374000