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323430540 = 223519614651
BaseRepresentation
bin10011010001110…
…010100010001100
3211112120222021220
4103101302202030
51130244234130
652032123340
711005054116
oct2321624214
9745528256
10323430540
11156628174
1290396550
1352012824
1430d523b6
151d5db410
hex1347288c

323430540 has 96 divisors (see below), whose sum is σ = 969104640. Its totient is φ = 80352000.

The previous prime is 323430517. The next prime is 323430553. The reversal of 323430540 is 45034323.

It is a self number, because there is not a number n which added to its sum of digits gives 323430540.

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, 67215 + ... + 71865.

It is an arithmetic number, because the mean of its divisors is an integer number (10094840).

Almost surely, 2323430540 is an apocalyptic number.

323430540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323430540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484552320).

323430540 is an abundant number, since it is smaller than the sum of its proper divisors (645674100).

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

323430540 is a wasteful number, since it uses less digits than its factorization.

323430540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4743 (or 4741 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 323430540 is about 17984.1747100055. The cubic root of 323430540 is about 686.4259213020.

Adding to 323430540 its reverse (45034323), we get a palindrome (368464863).

The spelling of 323430540 in words is "three hundred twenty-three million, four hundred thirty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 61 76 95 114 122 183 190 228 244 285 305 366 380 570 610 732 915 1140 1159 1220 1830 2318 3477 3660 4636 4651 5795 6954 9302 11590 13908 13953 17385 18604 23180 23255 27906 34770 46510 55812 69540 69765 88369 93020 139530 176738 265107 279060 283711 353476 441845 530214 567422 851133 883690 1060428 1134844 1325535 1418555 1702266 1767380 2651070 2837110 3404532 4255665 5302140 5390509 5674220 8511330 10781018 16171527 17022660 21562036 26952545 32343054 53905090 64686108 80857635 107810180 161715270 323430540