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343232100040 = 23515754654793
BaseRepresentation
bin1001111111010100011…
…10100011011011001000
31012210221102202020222111
410333222032203123020
521110414404200130
6421402331032104
733540416466334
oct4775216433310
91183842666874
10343232100040
111226226329a5
125662b89b634
132649c6ab7ab
1412880a927c4
158ddccd502a
hex4fea3a36c8

343232100040 has 32 divisors (see below), whose sum is σ = 777191170680. Its totient is φ = 136418360832.

The previous prime is 343232100031. The next prime is 343232100067. The reversal of 343232100040 is 40001232343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 220372035844 + 122860064196 = 469438^2 + 350514^2 .

It is a junction number, because it is equal to n+sod(n) for n = 343232099984 and 343232100020.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27321117 + ... + 27333676.

Almost surely, 2343232100040 is an apocalyptic number.

It is an amenable number.

343232100040 is an abundant number, since it is smaller than the sum of its proper divisors (433959070640).

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

343232100040 is a wasteful number, since it uses less digits than its factorization.

343232100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54654961 (or 54654957 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 343232100040 its reverse (40001232343), we get a palindrome (383233332383).

The spelling of 343232100040 in words is "three hundred forty-three billion, two hundred thirty-two million, one hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 6280 54654793 109309586 218619172 273273965 437238344 546547930 1093095860 2186191720 8580802501 17161605002 34323210004 42904012505 68646420008 85808025010 171616050020 343232100040