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32344031214 = 23311173314747
BaseRepresentation
bin11110000111110110…
…101011111111101110
310002111010000000201000
4132013312223333232
51012220032444324
622505244501130
72223341505045
oct360766537756
9102433000630
1032344031214
11127983a9410
126327b4a7a6
133085bb5911
1417cb89955c
15c947e69c9
hex787dabfee

32344031214 has 64 divisors (see below), whose sum is σ = 78863258880. Its totient is φ = 9744536160.

The previous prime is 32344031191. The next prime is 32344031261. The reversal of 32344031214 is 41213044323.

32344031214 is a `hidden beast` number, since 3 + 2 + 3 + 440 + 3 + 1 + 214 = 666.

It is a super-2 number, since 2×323440312142 (a number of 22 digits) contains 22 as substring.

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

It is a Curzon number.

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, 54612 + ... + 260135.

It is an arithmetic number, because the mean of its divisors is an integer number (1232238420).

Almost surely, 232344031214 is an apocalyptic number.

32344031214 is an abundant number, since it is smaller than the sum of its proper divisors (46519227666).

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

32344031214 is a wasteful number, since it uses less digits than its factorization.

32344031214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314942 (or 314936 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 32344031214 its reverse (41213044323), we get a palindrome (73557075537).

The spelling of 32344031214 in words is "thirty-two billion, three hundred forty-four million, thirty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 173 198 297 346 519 594 1038 1557 1903 3114 3806 4671 5709 9342 11418 17127 34254 51381 102762 314747 629494 944241 1888482 2832723 3462217 5665446 6924434 8498169 10386651 16996338 20773302 31159953 54451231 62319906 93479859 108902462 163353693 186959718 326707386 490061079 598963541 980122158 1197927082 1470183237 1796890623 2940366474 3593781246 5390671869 10781343738 16172015607 32344031214