Search a number
-
+
335302044 = 2237111971269
BaseRepresentation
bin10011111111000…
…100110110011100
3212100221002221020
4103333010312130
51141314131134
653134404140
711211006660
oct2377046634
9770832836
10335302044
111622a6430
1294360650
135460b19c
14327628a0
151e683b49
hex13fc4d9c

335302044 has 192 divisors, whose sum is σ = 1045094400. Its totient is φ = 81043200.

The previous prime is 335302043. The next prime is 335302057. The reversal of 335302044 is 440203533.

It is a super-2 number, since 2×3353020442 = 224854921421155872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335302043) 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 63 ways as a sum of consecutive naturals, for example, 1246342 + ... + 1246610.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2335302044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335302044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522547200).

335302044 is an abundant number, since it is smaller than the sum of its proper divisors (709792356).

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

335302044 is a wasteful number, since it uses less digits than its factorization.

335302044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 335302044 is about 18311.2545719839. The cubic root of 335302044 is about 694.7236235257.

Adding to 335302044 its reverse (440203533), we get a palindrome (775505577).

The spelling of 335302044 in words is "three hundred thirty-five million, three hundred two thousand, forty-four".