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321368740 = 225711261311
BaseRepresentation
bin10011001001111…
…011001010100100
3211101201020000221
4103021323022210
51124232244430
651520014124
710651406050
oct2311731244
9741636027
10321368740
1115544a100
128b761344
1351770224
1430976c60
151d33057a
hex1327b2a4

321368740 has 144 divisors (see below), whose sum is σ = 864444672. Its totient is φ = 98208000.

The previous prime is 321368711. The next prime is 321368759. The reversal of 321368740 is 47863123.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 321368696 and 321368705.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1033185 + ... + 1033495.

It is an arithmetic number, because the mean of its divisors is an integer number (6003088).

Almost surely, 2321368740 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 321368740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432222336).

321368740 is an abundant number, since it is smaller than the sum of its proper divisors (543075932).

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

321368740 is a wasteful number, since it uses less digits than its factorization.

321368740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 321368740 is about 17926.7604435380. The cubic root of 321368740 is about 684.9642050665.

The spelling of 321368740 in words is "three hundred twenty-one million, three hundred sixty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 61 70 77 110 121 122 140 154 220 242 244 305 308 311 385 427 484 605 610 622 671 770 847 854 1210 1220 1244 1342 1540 1555 1694 1708 2135 2177 2420 2684 3110 3355 3388 3421 4235 4270 4354 4697 6220 6710 6842 7381 8470 8540 8708 9394 10885 13420 13684 14762 16940 17105 18788 18971 21770 23485 23947 29524 34210 36905 37631 37942 43540 46970 47894 51667 68420 73810 75262 75884 93940 94855 95788 103334 119735 132797 147620 150524 188155 189710 206668 208681 239470 258335 263417 265594 376310 379420 417362 478940 516670 526834 531188 663985 752620 834724 1033340 1043405 1053668 1317085 1327970 1460767 2086810 2295491 2634170 2655940 2921534 4173620 4590982 5268340 5843068 7303835 9181964 11477455 14607670 16068437 22954910 29215340 32136874 45909820 64273748 80342185 160684370 321368740