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3357042040 = 2351110175541
BaseRepresentation
bin1100100000011000…
…0110010101111000
322122221212101221101
43020012012111320
523333400321130
61313041021144
7146122246402
oct31006062570
98587771841
103357042040
111472a65410
127983247b4
13416664b11
1423bbc7b72
15149abe1ca
hexc8186578

3357042040 has 64 divisors (see below), whose sum is σ = 8321706720. Its totient is φ = 1208640000.

The previous prime is 3357042019. The next prime is 3357042047. The reversal of 3357042040 is 402407533.

It is a super-2 number, since 2×33570420402 = 22539462516654723200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3357042047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6670 + ... + 82210.

Almost surely, 23357042040 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 3357042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160853360).

3357042040 is an abundant number, since it is smaller than the sum of its proper divisors (4964664680).

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

3357042040 is a wasteful number, since it uses less digits than its factorization.

3357042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75664 (or 75660 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 3357042040 is about 57939.9865377962. The cubic root of 3357042040 is about 1497.3348288613.

Adding to 3357042040 its reverse (402407533), we get a palindrome (3759449573).

The spelling of 3357042040 in words is "three billion, three hundred fifty-seven million, forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 44440 75541 151082 302164 377705 604328 755410 830951 1510820 1661902 3021640 3323804 4154755 6647608 7629641 8309510 15259282 16619020 30518564 33238040 38148205 61037128 76296410 83926051 152592820 167852102 305185640 335704204 419630255 671408408 839260510 1678521020 3357042040