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345451252740 = 223511839623851
BaseRepresentation
bin1010000011011100111…
…11111100110000000100
31020000200002110220012020
411001232133330300010
521124441010041430
6422410443123140
733646414125306
oct5015637746004
91200602426166
10345451252740
111235612541a0
1256b4ab134b0
13267643879b9
1412a116b7976
158ebca36b10
hex506e7fcc04

345451252740 has 96 divisors (see below), whose sum is σ = 1056455930880. Its totient is φ = 83645808000.

The previous prime is 345451252723. The next prime is 345451252771. The reversal of 345451252740 is 47252154543.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 345451252692 and 345451252701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241815 + ... + 865665.

It is an arithmetic number, because the mean of its divisors is an integer number (11004749280).

Almost surely, 2345451252740 is an apocalyptic number.

345451252740 is a gapful number since it is divisible by the number (30) 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 345451252740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528227965440).

345451252740 is an abundant number, since it is smaller than the sum of its proper divisors (711004678140).

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

345451252740 is a wasteful number, since it uses less digits than its factorization.

345451252740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624713 (or 624711 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 42.

The spelling of 345451252740 in words is "three hundred forty-five billion, four hundred fifty-one million, two hundred fifty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 839 1678 2517 3356 4195 5034 8390 9229 10068 12585 16780 18458 25170 27687 36916 46145 50340 55374 92290 110748 138435 184580 276870 553740 623851 1247702 1871553 2495404 3119255 3743106 6238510 6862361 7486212 9357765 12477020 13724722 18715530 20587083 27449444 34311805 37431060 41174166 68623610 82348332 102935415 137247220 205870830 411741660 523410989 1046821978 1570232967 2093643956 2617054945 3140465934 5234109890 5757520879 6280931868 7851164835 10468219780 11515041758 15702329670 17272562637 23030083516 28787604395 31404659340 34545125274 57575208790 69090250548 86362813185 115150417580 172725626370 345451252740