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4332120324 = 22371132291993
BaseRepresentation
bin1000000100011011…
…01110100100000100
3102011220122111212220
410002031232210010
532333010322244
61553512212340
7212232262260
oct40215564404
912156574786
104332120324
111923407134
12a0a99a0b0
1354068760c
142d14c90a0
151a54cb319
hex10236e904

4332120324 has 96 divisors (see below), whose sum is σ = 11711320320. Its totient is φ = 1220825088.

The previous prime is 4332120283. The next prime is 4332120329. The reversal of 4332120324 is 4230212334.

It is a super-2 number, since 2×43321203242 = 37534533003227729952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4332120294 and 4332120303.

It is not an unprimeable number, because it can be changed into a prime (4332120329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2172672 + ... + 2174664.

It is an arithmetic number, because the mean of its divisors is an integer number (121992920).

Almost surely, 24332120324 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 4332120324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855660160).

4332120324 is an abundant number, since it is smaller than the sum of its proper divisors (7379199996).

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

4332120324 is a wasteful number, since it uses less digits than its factorization.

4332120324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4332120324 is about 65818.8447482938. The cubic root of 4332120324 is about 1630.1722783269.

Adding to 4332120324 its reverse (4230212334), we get a palindrome (8562332658).

The spelling of 4332120324 in words is "four billion, three hundred thirty-two million, one hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 229 339 452 458 678 687 791 916 1356 1374 1582 1603 1993 2373 2748 3164 3206 3986 4746 4809 5979 6412 7972 9492 9618 11958 13951 19236 23916 25877 27902 41853 51754 55804 77631 83706 103508 155262 167412 181139 225209 310524 362278 450418 456397 543417 675627 724556 900836 912794 1086834 1351254 1369191 1576463 1825588 2173668 2702508 2738382 3152926 3194779 4729389 5476764 6305852 6389558 9458778 9584337 12779116 18917556 19168674 38337348 51572861 103145722 154718583 206291444 309437166 361010027 618874332 722020054 1083030081 1444040108 2166060162 4332120324