Search a number
-
+
324359040 = 2735168937
BaseRepresentation
bin10011010101010…
…101001110000000
3211121100010221210
4103111111032000
51131013442130
652104050120
711016002115
oct2325251600
9747303853
10324359040
11157101825
1290763940
1352279335
143111490c
151d7215b0
hex13555380

324359040 has 64 divisors (see below), whose sum is σ = 1033900560. Its totient is φ = 86495232.

The previous prime is 324359033. The next prime is 324359071. The reversal of 324359040 is 40953423.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 324358989 and 324359007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82549 + ... + 86388.

Almost surely, 2324359040 is an apocalyptic number.

324359040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

324359040 is an abundant number, since it is smaller than the sum of its proper divisors (709541520).

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

324359040 is a wasteful number, since it uses less digits than its factorization.

324359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168959 (or 168947 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 324359040 is about 18009.9705718805. The cubic root of 324359040 is about 687.0821544699.

The spelling of 324359040 in words is "three hundred twenty-four million, three hundred fifty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 168937 337874 506811 675748 844685 1013622 1351496 1689370 2027244 2534055 2702992 3378740 4054488 5068110 5405984 6757480 8108976 10136220 10811968 13514960 16217952 20272440 21623936 27029920 32435904 40544880 54059840 64871808 81089760 108119680 162179520 324359040