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303204042240 = 29351123915017
BaseRepresentation
bin1000110100110000101…
…11101000011000000000
31001222121210220020102020
410122120113220120000
514431430213322430
6351142350521440
730622451556351
oct4323027503000
91058553806366
10303204042240
111076518606a0
124a91a506280
13227908842a8
141096489dd28
157d48b09b10
hex46985e8600

303204042240 has 320 divisors, whose sum is σ = 1061919175680. Its totient is φ = 73191587840.

The previous prime is 303204042233. The next prime is 303204042241. The reversal of 303204042240 is 42240402303.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 303204042240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303204042241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20183212 + ... + 20198228.

It is an arithmetic number, because the mean of its divisors is an integer number (3318497424).

Almost surely, 2303204042240 is an apocalyptic number.

303204042240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303204042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530959587840).

303204042240 is an abundant number, since it is smaller than the sum of its proper divisors (758715133440).

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

303204042240 is a wasteful number, since it uses less digits than its factorization.

303204042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15293 (or 15277 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 303204042240 its reverse (42240402303), we get a palindrome (345444444543).

The spelling of 303204042240 in words is "three hundred three billion, two hundred four million, forty-two thousand, two hundred forty".