Search a number
-
+
33505342320 = 2435139605593
BaseRepresentation
bin11111001101000100…
…101111001101110000
310012111001012202001110
4133031010233031300
51022104331423240
623220411433320
72264202465522
oct371504571560
9105431182043
1033505342320
111323398a65a
1265b0a55840
13320c682258
14189bbd7a12
15d1173dc80
hex7cd12f370

33505342320 has 40 divisors (see below), whose sum is σ = 103866561936. Its totient is φ = 8934757888.

The previous prime is 33505342319. The next prime is 33505342331. The reversal of 33505342320 is 2324350533.

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

It is a super-2 number, since 2×335053423202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69802557 + ... + 69803036.

Almost surely, 233505342320 is an apocalyptic number.

33505342320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33505342320 is an abundant number, since it is smaller than the sum of its proper divisors (70361219616).

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

33505342320 is a wasteful number, since it uses less digits than its factorization.

33505342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139605609 (or 139605603 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

Adding to 33505342320 its reverse (2324350533), we get a palindrome (35829692853).

The spelling of 33505342320 in words is "thirty-three billion, five hundred five million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 139605593 279211186 418816779 558422372 698027965 837633558 1116844744 1396055930 1675267116 2094083895 2233689488 2792111860 3350534232 4188167790 5584223720 6701068464 8376335580 11168447440 16752671160 33505342320