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332434000120 = 23529423282461
BaseRepresentation
bin1001101011001101001…
…11000100100011111000
31011210001220012221120211
410311212213010203320
520421311101000440
6412415034200504
733006011243425
oct4654647044370
91153056187524
10332434000120
11118a91365682
1254517583134
132546b555261
141213893ad4c
1589a9d27eea
hex4d669c48f8

332434000120 has 32 divisors (see below), whose sum is σ = 748004569920. Its totient is φ = 132968609920.

The previous prime is 332434000109. The next prime is 332434000211. The reversal of 332434000120 is 21000434233.

It is a happy number.

It is a super-2 number, since 2×3324340001202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332434000091 and 332434000100.

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 7 ways as a sum of consecutive naturals, for example, 1035690 + ... + 1318150.

It is an arithmetic number, because the mean of its divisors is an integer number (23375142810).

Almost surely, 2332434000120 is an apocalyptic number.

It is an amenable number.

332434000120 is an abundant number, since it is smaller than the sum of its proper divisors (415570569800).

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

332434000120 is a wasteful number, since it uses less digits than its factorization.

332434000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311895 (or 311891 counting only the distinct ones).

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

Adding to 332434000120 its reverse (21000434233), we get a palindrome (353434434353).

The spelling of 332434000120 in words is "three hundred thirty-two billion, four hundred thirty-four million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 29423 58846 117692 147115 235384 282461 294230 564922 588460 1129844 1176920 1412305 2259688 2824610 5649220 11298440 8310850003 16621700006 33243400012 41554250015 66486800024 83108500030 166217000060 332434000120