Search a number
-
+
354303090 = 232519120611
BaseRepresentation
bin10101000111100…
…011110001110010
3220200200110110200
4111013203301302
51211200144330
655053540030
711531345421
oct2507436162
9820613420
10354303090
11171aa4179
129a7a4616
13585319cb
14350ab2b8
1521188a60
hex151e3c72

354303090 has 48 divisors (see below), whose sum is σ = 926055936. Its totient is φ = 93981600.

The previous prime is 354303043. The next prime is 354303097. The reversal of 354303090 is 90303453.

354303090 is a `hidden beast` number, since 3 + 543 + 0 + 30 + 90 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (354303097) 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, 6885 + ... + 27495.

It is an arithmetic number, because the mean of its divisors is an integer number (19292832).

Almost surely, 2354303090 is an apocalyptic number.

354303090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 354303090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463027968).

354303090 is an abundant number, since it is smaller than the sum of its proper divisors (571752846).

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

354303090 is a wasteful number, since it uses less digits than its factorization.

354303090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20815 (or 20812 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 354303090 is about 18822.9405247958. The cubic root of 354303090 is about 707.6062279366.

The spelling of 354303090 in words is "three hundred fifty-four million, three hundred three thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 191 382 573 955 1146 1719 1910 2865 3438 5730 8595 17190 20611 41222 61833 103055 123666 185499 206110 309165 370998 618330 927495 1854990 3936701 7873402 11810103 19683505 23620206 35430309 39367010 59050515 70860618 118101030 177151545 354303090