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3284436514340 = 2252389112971059
BaseRepresentation
bin101111110010110111101…
…010111111011000100100
3102121222201000202022111102
4233302313222333120210
5412303011221424330
610552503241055232
7456202253510612
oct57626752773044
912558630668442
103284436514340
111056a15872933
12450667187518
131aa94b15cca7
14b4d790546b2
155a6808d4945
hex2fcb7abf624

3284436514340 has 96 divisors (see below), whose sum is σ = 7284616416000. Its totient is φ = 1241416230912.

The previous prime is 3284436514313. The next prime is 3284436514369. The reversal of 3284436514340 is 434156344823.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46185731 + ... + 46256789.

It is an arithmetic number, because the mean of its divisors is an integer number (75881421000).

Almost surely, 23284436514340 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 3284436514340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642308208000).

3284436514340 is an abundant number, since it is smaller than the sum of its proper divisors (4000179901660).

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

3284436514340 is a wasteful number, since it uses less digits than its factorization.

3284436514340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72309 (or 72307 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 47.

The spelling of 3284436514340 in words is "three trillion, two hundred eighty-four billion, four hundred thirty-six million, five hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 89 92 115 178 230 356 445 460 890 1129 1780 2047 2258 4094 4516 5645 8188 10235 11290 20470 22580 25967 40940 51934 71059 100481 103868 129835 142118 200962 259670 284236 355295 401924 502405 519340 710590 1004810 1421180 1634357 2009620 2311063 3268714 4622126 6324251 6537428 8171785 9244252 11555315 12648502 16343570 23110630 25297004 31621255 32687140 46221260 63242510 80225611 126485020 145457773 160451222 290915546 320902444 401128055 581831092 727288865 802256110 1454577730 1604512220 1845189053 2909155460 3690378106 7140079379 7380756212 9225945265 14280158758 18451890530 28560317516 35700396895 36903781060 71400793790 142801587580 164221825717 328443651434 656887302868 821109128585 1642218257170 3284436514340