Search a number
-
+
324410680 = 23511297691
BaseRepresentation
bin10011010101100…
…001110100111000
3211121102202210101
4103111201310320
51131022120210
652105125144
711016305506
oct2325416470
9747382711
10324410680
11157137600
12907897b4
13522969a9
1431129676
151d731a3a
hex13561d38

324410680 has 96 divisors (see below), whose sum is σ = 811757520. Its totient is φ = 116582400.

The previous prime is 324410621. The next prime is 324410689. The reversal of 324410680 is 86014423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324410689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469135 + ... + 469825.

Almost surely, 2324410680 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 324410680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405878760).

324410680 is an abundant number, since it is smaller than the sum of its proper divisors (487346840).

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

324410680 is a wasteful number, since it uses less digits than its factorization.

324410680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 324410680 is about 18011.4041651394. The cubic root of 324410680 is about 687.1186151357.

It can be divided in two parts, 3244 and 10680, that added together give a square (13924 = 1182).

The spelling of 324410680 in words is "three hundred twenty-four million, four hundred ten thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 97 110 121 194 220 242 388 440 484 485 605 691 776 968 970 1067 1210 1382 1940 2134 2420 2764 3455 3880 4268 4840 5335 5528 6910 7601 8536 10670 11737 13820 15202 21340 23474 27640 30404 38005 42680 46948 58685 60808 67027 76010 83611 93896 117370 134054 152020 167222 234740 268108 304040 334444 335135 418055 469480 536216 668888 670270 737297 836110 1340540 1474594 1672220 2681080 2949188 3344440 3686485 5898376 7372970 8110267 14745940 16220534 29491880 32441068 40551335 64882136 81102670 162205340 324410680