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3345724017240 = 23351113457188351
BaseRepresentation
bin110000101011111100101…
…100010000101001011000
3102211211220021000001012020
4300223330230100221120
5414304020322022430
611041000541014440
7463502105626233
oct60537454205130
912754807001166
103345724017240
11107aa05a91980
12460510254420
131b366756aac7
14b7d108d441a
155c06b1a9b10
hex30afcb10a58

3345724017240 has 128 divisors (see below), whose sum is σ = 10950514053120. Its totient is φ = 811020032000.

The previous prime is 3345724017239. The next prime is 3345724017343. The reversal of 3345724017240 is 427104275433.

It is a super-2 number, since 2×33457240172402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3345724017192 and 3345724017201.

It is a congruent number.

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, 17669065 + ... + 17857415.

It is an arithmetic number, because the mean of its divisors is an integer number (85550891040).

Almost surely, 23345724017240 is an apocalyptic number.

3345724017240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3345724017240 is an abundant number, since it is smaller than the sum of its proper divisors (7604790035880).

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

3345724017240 is a wasteful number, since it uses less digits than its factorization.

3345724017240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201833 (or 201829 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The spelling of 3345724017240 in words is "three trillion, three hundred forty-five billion, seven hundred twenty-four million, seventeen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 13457 26914 40371 53828 67285 80742 107656 134570 148027 161484 188351 201855 269140 296054 322968 376702 403710 444081 538280 565053 592108 740135 753404 807420 888162 941755 1130106 1184216 1480270 1506808 1614840 1776324 1883510 2071861 2220405 2260212 2825265 2960540 3552648 3767020 4143722 4440810 4520424 5650530 5921080 6215583 7534040 8287444 8881620 10359305 11301060 12431166 16574888 17763240 20718610 22602120 24862332 31077915 41437220 49724664 62155830 82874440 124311660 248623320 2534639407 5069278814 7603918221 10138557628 12673197035 15207836442 20277115256 25346394070 27881033477 30415672884 38019591105 50692788140 55762066954 60831345768 76039182210 83643100431 101385576280 111524133908 139405167385 152078364420 167286200862 223048267816 278810334770 304156728840 334572401724 418215502155 557620669540 669144803448 836431004310 1115241339080 1672862008620 3345724017240