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343342220032 = 287352754323
BaseRepresentation
bin1001111111100001100…
…10101000001100000000
31012211020002221221012201
410333300302220030000
521111131102020112
6421421303202544
733543224501020
oct4776062501400
91184202857181
10343342220032
11122679806759
1256660746454
13264b9456656
1412891559a80
158de77d8257
hex4ff0ca8300

343342220032 has 72 divisors (see below), whose sum is σ = 783485934336. Its totient is φ = 147102237696.

The previous prime is 343342220027. The next prime is 343342220033. The reversal of 343342220032 is 230022243343.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (343342220033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6293223 + ... + 6347545.

It is an arithmetic number, because the mean of its divisors is an integer number (10881749088).

Almost surely, 2343342220032 is an apocalyptic number.

343342220032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343342220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391742967168).

343342220032 is an abundant number, since it is smaller than the sum of its proper divisors (440143714304).

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

343342220032 is an equidigital number, since it uses as much as digits as its factorization.

343342220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57873 (or 57859 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 343342220032 its reverse (230022243343), we get a palindrome (573364463375).

The spelling of 343342220032 in words is "three hundred forty-three billion, three hundred forty-two million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 3527 7054 14108 24689 28216 49378 54323 56432 98756 108646 112864 197512 217292 225728 380261 395024 434584 451456 760522 790048 869168 902912 1521044 1580096 1738336 3042088 3160192 3476672 6084176 6320384 6953344 12168352 13906688 24336704 48673408 97346816 191597221 383194442 766388884 1341180547 1532777768 2682361094 3065555536 5364722188 6131111072 10729444376 12262222144 21458888752 24524444288 42917777504 49048888576 85835555008 171671110016 343342220032