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3313373140 = 2257311192311
BaseRepresentation
bin1100010101111110…
…0000111111010100
322112220200210110201
43011133200333110
523241210420030
61304441030244
7145052131000
oct30537407724
98486623421
103313373140
111450349310
12785785384
1340a5b532c
1423609b700
15145d452ca
hexc57e0fd4

3313373140 has 192 divisors, whose sum is σ = 9321984000. Its totient is φ = 977961600.

The previous prime is 3313373131. The next prime is 3313373143. The reversal of 3313373140 is 413733133.

It is a super-3 number, since 3×33133731403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3313373099 and 3313373108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313373143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1432585 + ... + 1434895.

It is an arithmetic number, because the mean of its divisors is an integer number (48552000).

Almost surely, 23313373140 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 3313373140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660992000).

3313373140 is an abundant number, since it is smaller than the sum of its proper divisors (6008610860).

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

3313373140 is a wasteful number, since it uses less digits than its factorization.

3313373140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 28.

The square root of 3313373140 is about 57561.9070219186. The cubic root of 3313373140 is about 1490.8139540248.

The spelling of 3313373140 in words is "three billion, three hundred thirteen million, three hundred seventy-three thousand, one hundred forty".