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3334114332 = 2233613891301
BaseRepresentation
bin1100011010111010…
…1000110000011100
322121100201120001000
43012232220300130
523312013124312
61310501350300
7145423334643
oct30656506034
98540646030
103334114332
11146102549a
12790708390
13411997c23
14238b3a35a
15147a90adc
hexc6ba8c1c

3334114332 has 96 divisors (see below), whose sum is σ = 8815060800. Its totient is φ = 1089504000.

The previous prime is 3334114321. The next prime is 3334114379. The reversal of 3334114332 is 2334114333.

It is a super-2 number, since 2×33341143322 = 22232636757695612448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3334114296 and 3334114305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2562082 + ... + 2563382.

It is an arithmetic number, because the mean of its divisors is an integer number (91823550).

Almost surely, 23334114332 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 3334114332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407530400).

3334114332 is an abundant number, since it is smaller than the sum of its proper divisors (5480946468).

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

3334114332 is a wasteful number, since it uses less digits than its factorization.

3334114332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1756 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 3334114332 is about 57741.7901696856. The cubic root of 3334114332 is about 1493.9182387797.

Adding to 3334114332 its reverse (2334114333), we get a palindrome (5668228665).

Subtracting from 3334114332 its reverse (2334114333), we obtain a palindrome (999999999).

The spelling of 3334114332 in words is "three billion, three hundred thirty-four million, one hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 389 549 732 778 1098 1167 1301 1556 1647 2196 2334 2602 3294 3501 3903 4668 5204 6588 7002 7806 10503 11709 14004 15612 21006 23418 23729 35127 42012 46836 47458 70254 71187 79361 94916 140508 142374 158722 213561 238083 284748 317444 427122 476166 506089 640683 714249 854244 952332 1012178 1281366 1428498 1518267 2024356 2142747 2562732 2856996 3036534 4285494 4554801 6073068 8570988 9109602 13664403 18219204 27328806 30871429 54657612 61742858 92614287 123485716 185228574 277842861 370457148 555685722 833528583 1111371444 1667057166 3334114332