Search a number
-
+
263430864 = 24324738923
BaseRepresentation
bin11111011001110…
…10001011010000
3200100200200012200
433230322023100
51014414241424
642050123200
76346061004
oct1754721320
9610620180
10263430864
11125777564
1274280500
1342765a68
1426db4704
15181d88c9
hexfb3a2d0

263430864 has 60 divisors (see below), whose sum is σ = 752945856. Its totient is φ = 85939776.

The previous prime is 263430851. The next prime is 263430883. The reversal of 263430864 is 468034362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12694 + ... + 26229.

Almost surely, 2263430864 is an apocalyptic number.

263430864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

263430864 is an abundant number, since it is smaller than the sum of its proper divisors (489514992).

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

263430864 is a wasteful number, since it uses less digits than its factorization.

263430864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38984 (or 38975 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 263430864 is about 16230.5534101583. The cubic root of 263430864 is about 641.0455436093.

It can be divided in two parts, 26 and 3430864, that added together give a triangular number (3430890 = T2619).

The spelling of 263430864 in words is "two hundred sixty-three million, four hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 38923 77846 116769 155692 233538 311384 350307 467076 622768 700614 934152 1401228 1829381 1868304 2802456 3658762 5488143 5604912 7317524 10976286 14635048 16464429 21952572 29270096 32928858 43905144 65857716 87810288 131715432 263430864