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3324312342 = 2321331214783
BaseRepresentation
bin1100011000100100…
…1111101100010110
322120200021120020100
43012021033230112
523302010443332
61305511314530
7145244121501
oct30611175426
98520246210
103324312342
11145654007a
1278937ba46
1340c945530
14237708138
15146ca667c
hexc624fb16

3324312342 has 72 divisors (see below), whose sum is σ = 8015559552. Its totient is φ = 989802720.

The previous prime is 3324312301. The next prime is 3324312361. The reversal of 3324312342 is 2432134233.

3324312342 is a `hidden beast` number, since 3 + 3 + 2 + 4 + 312 + 342 = 666.

3324312342 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33243123422 = 22102105094347049928, which 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 35 ways as a sum of consecutive naturals, for example, 217483 + ... + 232265.

It is an arithmetic number, because the mean of its divisors is an integer number (111327216).

Almost surely, 23324312342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3324312342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007779776).

3324312342 is an abundant number, since it is smaller than the sum of its proper divisors (4691247210).

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

3324312342 is a wasteful number, since it uses less digits than its factorization.

3324312342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14866 (or 14832 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 3324312342 is about 57656.8499139521. The cubic root of 3324312342 is about 1492.4528076120.

Adding to 3324312342 its reverse (2432134233), we get a palindrome (5756446575).

The spelling of 3324312342 in words is "three billion, three hundred twenty-four million, three hundred twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 961 1209 1922 2418 2883 3627 5766 7254 8649 12493 14783 17298 24986 29566 37479 44349 74958 88698 112437 133047 192179 224874 266094 384358 458273 576537 916546 1153074 1374819 1729611 2749638 3459222 4124457 5957549 8248914 11915098 14206463 17872647 28412926 35745294 42619389 53617941 85238778 107235882 127858167 184684019 255716334 369368038 554052057 1108104114 1662156171 3324312342