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332240244320 = 255103173116533
BaseRepresentation
bin1001101010110110000…
…11111100111001100000
31011202120101122010121002
410311123003330321200
520420412000304240
6412343513251132
733001136323625
oct4653303747140
91152511563532
10332240244320
111189a1a58016
1254482703aa8
132543a37615a
141211ad0234c
158997d03d15
hex4d5b0fce60

332240244320 has 96 divisors (see below), whose sum is σ = 797126121792. Its totient is φ = 130843994112.

The previous prime is 332240244251. The next prime is 332240244337. The reversal of 332240244320 is 23442042233.

It is a happy number.

It is a super-2 number, since 2×3322402443202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2792774 + ... + 2909306.

It is an arithmetic number, because the mean of its divisors is an integer number (8303397102).

Almost surely, 2332240244320 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 332240244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398563060896).

332240244320 is an abundant number, since it is smaller than the sum of its proper divisors (464885877472).

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

332240244320 is a wasteful number, since it uses less digits than its factorization.

332240244320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116824 (or 116816 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 332240244320 its reverse (23442042233), we get a palindrome (355682286553).

The spelling of 332240244320 in words is "three hundred thirty-two billion, two hundred forty million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 173 206 346 412 515 692 824 865 1030 1384 1648 1730 2060 2768 3296 3460 4120 5536 6920 8240 13840 16480 17819 27680 35638 71276 89095 116533 142552 178190 233066 285104 356380 466132 570208 582665 712760 932264 1165330 1425520 1864528 2330660 2851040 3729056 4661320 9322640 12002899 18645280 20160209 24005798 40320418 48011596 60014495 80640836 96023192 100801045 120028990 161281672 192046384 201602090 240057980 322563344 384092768 403204180 480115960 645126688 806408360 960231920 1612816720 1920463840 2076501527 3225633440 4153003054 8306006108 10382507635 16612012216 20765015270 33224024432 41530030540 66448048864 83060061080 166120122160 332240244320