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345354015632520 = 233543167400772891
BaseRepresentation
bin100111010000110001111111…
…1011011000110110010001000
31200021210112002010212012012010
41032201203333123012302020
5330231240011000220040
63222301240004415520
7132513001311526536
oct11641437733066210
91607715063765163
10345354015632520
11a00498a7511564
1232897b090a75a0
1311a9198956806b
14613d31b58d156
1529dd6b5612e80
hex13a18ff6c6c88

345354015632520 has 128 divisors (see below), whose sum is σ = 1066504758359040. Its totient is φ = 89414034850560.

The previous prime is 345354015632519. The next prime is 345354015632539. The reversal of 345354015632520 is 25236510453543.

It is a super-2 number, since 2×3453540156325202 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345354015632520.

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, 199524726 + ... + 201248165.

It is an arithmetic number, because the mean of its divisors is an integer number (8332068424680).

Almost surely, 2345354015632520 is an apocalyptic number.

345354015632520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345354015632520 is an abundant number, since it is smaller than the sum of its proper divisors (721150742726520).

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

345354015632520 is a wasteful number, since it uses less digits than its factorization.

345354015632520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400773115 (or 400773111 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 48.

The spelling of 345354015632520 in words is "three hundred forty-five trillion, three hundred fifty-four billion, fifteen million, six hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 167 172 215 258 334 344 430 501 516 645 668 835 860 1002 1032 1290 1336 1670 1720 2004 2505 2580 3340 4008 5010 5160 6680 7181 10020 14362 20040 21543 28724 35905 43086 57448 71810 86172 107715 143620 172344 215430 287240 430860 861720 400772891 801545782 1202318673 1603091564 2003864455 2404637346 3206183128 4007728910 4809274692 6011593365 8015457820 9618549384 12023186730 16030915640 17233234313 24046373460 34466468626 48092746920 51699702939 66929072797 68932937252 86166171565 103399405878 133858145594 137865874504 172332343130 200787218391 206798811756 258498514695 267716291188 334645363985 344664686260 401574436782 413597623512 516997029390 535432582376 669290727970 689329372520 803148873564 1003936091955 1033994058780 1338581455940 1606297747128 2007872183910 2067988117560 2677162911880 2877950130271 4015744367820 5755900260542 8031488735640 8633850390813 11511800521084 14389750651355 17267700781626 23023601042168 28779501302710 34535401563252 43169251954065 57559002605420 69070803126504 86338503908130 115118005210840 172677007816260 345354015632520