Search a number
-
+
642803304 = 2331121317027
BaseRepresentation
bin100110010100000…
…110011001101000
31122210112210100210
4212110012121220
52304024201204
6143441301120
721633511053
oct4624063150
91583483323
10642803304
112aa933700
1215b3347a0
13a32343b0
1461529a9a
153b675389
hex26506668

642803304 has 96 divisors (see below), whose sum is σ = 1902368160. Its totient is φ = 179794560.

The previous prime is 642803281. The next prime is 642803309. The reversal of 642803304 is 403308246.

It is not an unprimeable number, because it can be changed into a prime (642803309) 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, 29239 + ... + 46265.

It is an arithmetic number, because the mean of its divisors is an integer number (19816335).

Almost surely, 2642803304 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 642803304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951184080).

642803304 is an abundant number, since it is smaller than the sum of its proper divisors (1259564856).

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

642803304 is a wasteful number, since it uses less digits than its factorization.

642803304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17071 (or 17056 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 642803304 is about 25353.5659030441. The cubic root of 642803304 is about 863.0302799151.

The spelling of 642803304 in words is "six hundred forty-two million, eight hundred three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 121 132 143 156 242 264 286 312 363 429 484 572 726 858 968 1144 1452 1573 1716 2904 3146 3432 4719 6292 9438 12584 17027 18876 34054 37752 51081 68108 102162 136216 187297 204324 221351 374594 408648 442702 561891 664053 749188 885404 1123782 1328106 1498376 1770808 2060267 2247564 2434861 2656212 4120534 4495128 4869722 5312424 6180801 7304583 8241068 9739444 12361602 14609166 16482136 19478888 24723204 26783471 29218332 49446408 53566942 58436664 80350413 107133884 160700826 214267768 321401652 642803304