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345426415260 = 2235197197914767
BaseRepresentation
bin1010000011011010000…
…01001100111010011100
31020000121100202000120120
411001231001030322130
521124413130242020
6422404154514540
733645663040653
oct5015501147234
91200540660516
10345426415260
1112354922a453
1256b42735a50
132675c19c774
1412a0c29019a
158eba77c740
hex506d04ce9c

345426415260 has 96 divisors (see below), whose sum is σ = 972660648960. Its totient is φ = 91593616128.

The previous prime is 345426415241. The next prime is 345426415303. The reversal of 345426415260 is 62514624543.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 23384397 + ... + 23399163.

It is an arithmetic number, because the mean of its divisors is an integer number (10131881760).

Almost surely, 2345426415260 is an apocalyptic number.

345426415260 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345426415260 is an abundant number, since it is smaller than the sum of its proper divisors (627234233700).

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

345426415260 is a wasteful number, since it uses less digits than its factorization.

345426415260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16955 (or 16953 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 345426415260 in words is "three hundred forty-five billion, four hundred twenty-six million, four hundred fifteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 197 394 591 788 985 1182 1970 1979 2364 2955 3940 3958 5910 5937 7916 9895 11820 11874 14767 19790 23748 29534 29685 39580 44301 59068 59370 73835 88602 118740 147670 177204 221505 295340 389863 443010 779726 886020 1169589 1559452 1949315 2339178 2909099 3898630 4678356 5818198 5847945 7797260 8727297 11636396 11695890 14545495 17454594 23391780 29090990 29223893 34909188 43636485 58181980 58447786 87272970 87671679 116895572 146119465 174545940 175343358 292238930 350686716 438358395 584477860 876716790 1753433580 5757106921 11514213842 17271320763 23028427684 28785534605 34542641526 57571069210 69085283052 86356603815 115142138420 172713207630 345426415260