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33442209342 = 2341491385459
BaseRepresentation
bin11111001001010011…
…111001111000111110
310012022122102020220000
4133021103321320332
51021442201144332
623210234335130
72262505042413
oct371123717076
9105278366800
1033442209342
1113201289943
12659388a4a6
1331cc579269
14189368210a
15d0ae1cb7c
hex7c94f9e3e

33442209342 has 40 divisors (see below), whose sum is σ = 75438297000. Its totient is φ = 11072580336.

The previous prime is 33442209289. The next prime is 33442209349. The reversal of 33442209342 is 24390224433.

33442209342 is a `hidden beast` number, since 3 + 3 + 442 + 209 + 3 + 4 + 2 = 666.

It is a super-2 number, since 2×334422093422 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33442209297 and 33442209306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33442209349) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 668592 + ... + 716867.

It is an arithmetic number, because the mean of its divisors is an integer number (1885957425).

Almost surely, 233442209342 is an apocalyptic number.

33442209342 is an abundant number, since it is smaller than the sum of its proper divisors (41996087658).

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

33442209342 is a wasteful number, since it uses less digits than its factorization.

33442209342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385622 (or 1385613 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 33442209342 in words is "thirty-three billion, four hundred forty-two million, two hundred nine thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 298 447 894 1341 2682 4023 8046 12069 24138 1385459 2770918 4156377 8312754 12469131 24938262 37407393 74814786 112222179 206433391 224444358 412866782 619300173 1238600346 1857900519 3715801038 5573701557 11147403114 16721104671 33442209342