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264343420 = 225115412221
BaseRepresentation
bin11111100000110…
…00111101111100
3200102102001000001
433300120331330
51020132442140
642121444044
76356611345
oct1760307574
9612361001
10264343420
11126240140
1274640624
13429c5233
14271710cc
1518318e9a
hexfc18f7c

264343420 has 48 divisors (see below), whose sum is σ = 606979296. Its totient is φ = 95904000.

The previous prime is 264343399. The next prime is 264343483. The reversal of 264343420 is 24343462.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 117910 + ... + 120130.

It is an arithmetic number, because the mean of its divisors is an integer number (12645402).

Almost surely, 2264343420 is an apocalyptic number.

264343420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264343420 is an abundant number, since it is smaller than the sum of its proper divisors (342635876).

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

264343420 is a wasteful number, since it uses less digits than its factorization.

264343420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 264343420 is about 16258.6413946553. The cubic root of 264343420 is about 641.7849099760.

Adding to 264343420 its reverse (24343462), we get a palindrome (288686882).

The spelling of 264343420 in words is "two hundred sixty-four million, three hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 541 1082 2164 2221 2705 4442 5410 5951 8884 10820 11105 11902 22210 23804 24431 29755 44420 48862 59510 97724 119020 122155 244310 488620 1201561 2403122 4806244 6007805 12015610 13217171 24031220 26434342 52868684 66085855 132171710 264343420