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12974346 = 23271122337
BaseRepresentation
bin110001011111…
…100100001010
3220102011110100
4301133210022
511310134341
61142030230
7215165040
oct61374412
926364410
1012974346
117361900
124418376
1328c3638
141a1a390
1512143b6
hexc5f90a

12974346 has 144 divisors (see below), whose sum is σ = 37844352. Its totient is φ = 3136320.

The previous prime is 12974341. The next prime is 12974387. The reversal of 12974346 is 64347921.

12974346 = T20 + T21 + ... + T426.

12974346 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 Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12974346.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12974341) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 350640 + ... + 350676.

It is an arithmetic number, because the mean of its divisors is an integer number (262808).

Almost surely, 212974346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12974346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18922176).

12974346 is an abundant number, since it is smaller than the sum of its proper divisors (24870006).

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

12974346 is a wasteful number, since it uses less digits than its factorization.

12974346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 83 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 12974346 is about 3601.9919489083. The cubic root of 12974346 is about 234.9786973296.

The spelling of 12974346 in words is "twelve million, nine hundred seventy-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 23 33 37 42 46 63 66 69 74 77 99 111 121 126 138 154 161 198 207 222 231 242 253 259 322 333 363 407 414 462 483 506 518 666 693 726 759 777 814 847 851 966 1089 1221 1386 1449 1518 1554 1694 1702 1771 2178 2277 2331 2442 2541 2553 2783 2849 2898 3542 3663 4477 4554 4662 5082 5106 5313 5566 5698 5957 7326 7623 7659 8349 8547 8954 9361 10626 11914 13431 15246 15318 15939 16698 17094 17871 18722 19481 25047 25641 26862 28083 31339 31878 35742 38962 40293 50094 51282 53613 56166 58443 62678 65527 80586 84249 94017 102971 107226 116886 131054 168498 175329 188034 196581 205942 282051 308913 350658 393162 564102 589743 617826 720797 926739 1179486 1441594 1853478 2162391 4324782 6487173 12974346