Search a number
-
+
368040258 = 232372412293
BaseRepresentation
bin10101111011111…
…101100101000010
3221122112101022200
4111323331211002
51223204242013
6100304214030
712056201445
oct2573754502
9848471280
10368040258
11179827103
12a330a316
135b331601
1436c4565c
152249de73
hex15efd942

368040258 has 48 divisors (see below), whose sum is σ = 822729336. Its totient is φ = 118817280.

The previous prime is 368040251. The next prime is 368040287. The reversal of 368040258 is 852040863.

368040258 is a `hidden beast` number, since 368 + 0 + 40 + 258 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 360734049 + 7306209 = 18993^2 + 2703^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (368040251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159360 + ... + 161652.

Almost surely, 2368040258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368040258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411364668).

368040258 is an abundant number, since it is smaller than the sum of its proper divisors (454689078).

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

368040258 is a wasteful number, since it uses less digits than its factorization.

368040258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 368040258 is about 19184.3753612152. The cubic root of 368040258 is about 716.6357048339.

The spelling of 368040258 in words is "three hundred sixty-eight million, forty thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 18 37 74 111 222 241 333 482 666 723 1446 2169 2293 4338 4586 6879 8917 13758 17834 20637 26751 41274 53502 80253 84841 160506 169682 254523 509046 552613 763569 1105226 1527138 1657839 3315678 4973517 9947034 20446681 40893362 61340043 122680086 184020129 368040258