Search a number
-
+
323110040 = 235111076863
BaseRepresentation
bin10011010000100…
…100010010011000
3211111222200122112
4103100210102120
51130204010130
652021211452
711002250531
oct2320442230
9744880575
10323110040
111564293a0
1290260b88
1351c2c996
1430cab688
151d576495
hex13424498

323110040 has 64 divisors (see below), whose sum is σ = 800616960. Its totient is φ = 116379520.

The previous prime is 323110037. The next prime is 323110063. The reversal of 323110040 is 40011323.

It is a junction number, because it is equal to n+sod(n) for n = 323109997 and 323110024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43649 + ... + 50511.

It is an arithmetic number, because the mean of its divisors is an integer number (12509640).

Almost surely, 2323110040 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 323110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400308480).

323110040 is an abundant number, since it is smaller than the sum of its proper divisors (477506920).

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

323110040 is a wasteful number, since it uses less digits than its factorization.

323110040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6992 (or 6988 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 323110040 is about 17975.2618896082. The cubic root of 323110040 is about 686.1991109164.

Adding to 323110040 its reverse (40011323), we get a palindrome (363121363).

The spelling of 323110040 in words is "three hundred twenty-three million, one hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 107 110 214 220 428 440 535 856 1070 1177 2140 2354 4280 4708 5885 6863 9416 11770 13726 23540 27452 34315 47080 54904 68630 75493 137260 150986 274520 301972 377465 603944 734341 754930 1468682 1509860 2937364 3019720 3671705 5874728 7343410 8077751 14686820 16155502 29373640 32311004 40388755 64622008 80777510 161555020 323110040