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3312100038 = 2313179532621
BaseRepresentation
bin1100010101101010…
…1010001011000110
322112211022010002210
43011122222023012
523240344200123
61304353444250
7145035246222
oct30532521306
98484263083
103312100038
11144a659865
12785270686
1340a25aa10
14235c49782
15145b92e93
hexc56aa2c6

3312100038 has 64 divisors (see below), whose sum is σ = 7564197312. Its totient is φ = 957788160.

The previous prime is 3312100037. The next prime is 3312100091. The reversal of 3312100038 is 8300012133.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3312099987 and 3312100023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3312100037) 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, 1262368 + ... + 1264988.

It is an arithmetic number, because the mean of its divisors is an integer number (118190583).

Almost surely, 23312100038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3312100038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782098656).

3312100038 is an abundant number, since it is smaller than the sum of its proper divisors (4252097274).

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

3312100038 is a wasteful number, since it uses less digits than its factorization.

3312100038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3312100038 is about 57550.8474133961. The cubic root of 3312100038 is about 1490.6229903871.

The spelling of 3312100038 in words is "three billion, three hundred twelve million, one hundred thousand, thirty-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 953 1326 1906 2621 2859 5242 5718 7863 12389 15726 16201 24778 32402 34073 37167 44557 48603 68146 74334 89114 97206 102219 133671 204438 210613 267342 421226 579241 631839 1158482 1263678 1737723 2497813 3475446 4995626 7493439 14986878 32471569 42462821 64943138 84925642 97414707 127388463 194829414 254776926 552016673 1104033346 1656050019 3312100038