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324322134132 = 223179719982361
BaseRepresentation
bin1001011100000110001…
…10110000100001110100
31011000010120022110101210
410232003012300201310
520303202431243012
6404554100521420
732301001440363
oct4560306604164
91130116273353
10324322134132
111155a94316a7
1252a329b0270
1324777aa5659
14119a94737da
158682ad223c
hex4b831b0874

324322134132 has 96 divisors (see below), whose sum is σ = 813604780800. Its totient is φ = 100191928320.

The previous prime is 324322134131. The next prime is 324322134161. The reversal of 324322134132 is 231431223423.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 324322134132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324322134131) 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, 3896632 + ... + 3978992.

It is an arithmetic number, because the mean of its divisors is an integer number (8475049800).

Almost surely, 2324322134132 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 324322134132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406802390400).

324322134132 is an abundant number, since it is smaller than the sum of its proper divisors (489282646668).

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

324322134132 is a wasteful number, since it uses less digits than its factorization.

324322134132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82681 (or 82679 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 324322134132 its reverse (231431223423), we get a palindrome (555753357555).

The spelling of 324322134132 in words is "three hundred twenty-four billion, three hundred twenty-two million, one hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 97 102 194 199 204 291 388 398 582 597 796 1164 1194 1649 2388 3298 3383 4947 6596 6766 9894 10149 13532 19303 19788 20298 38606 40596 57909 77212 82361 115818 164722 231636 247083 328151 329444 494166 656302 984453 988332 1312604 1400137 1968906 2800274 3937812 4200411 5600548 7989017 8400822 15978034 16389839 16801644 23967051 31956068 32779678 47934102 49169517 65559356 95868204 98339034 135813289 196678068 271626578 278627263 407439867 543253156 557254526 814879734 835881789 1114509052 1589814383 1629759468 1671763578 3179628766 3343527156 4769443149 6359257532 9538886298 19077772596 27026844511 54053689022 81080533533 108107378044 162161067066 324322134132