Search a number
-
+
235334960 = 2457420241
BaseRepresentation
bin11100000011011…
…10110100110000
3121101211020212122
432001232310300
5440221204320
635204013412
75555212520
oct1601566460
9541736778
10235334960
11110927703
1266991268
13399a9673
142337d680
15159d8d25
hexe06ed30

235334960 has 40 divisors (see below), whose sum is σ = 625320096. Its totient is φ = 80686080.

The previous prime is 235334959. The next prime is 235334987. The reversal of 235334960 is 69433532.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 235334960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209561 + ... + 210680.

Almost surely, 2235334960 is an apocalyptic number.

235334960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235334960 is an abundant number, since it is smaller than the sum of its proper divisors (389985136).

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

235334960 is a wasteful number, since it uses less digits than its factorization.

235334960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420261 (or 420255 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 35.

The square root of 235334960 is about 15340.6310170084. The cubic root of 235334960 is about 617.3936372612.

The spelling of 235334960 in words is "two hundred thirty-five million, three hundred thirty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 420241 840482 1680964 2101205 2941687 3361928 4202410 5883374 6723856 8404820 11766748 14708435 16809640 23533496 29416870 33619280 47066992 58833740 117667480 235334960