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3315723840 = 2632511138397
BaseRepresentation
bin1100010110100001…
…1110111001000000
322120002010020000200
43011220132321000
523242311130330
61305003245200
7145111121232
oct30550367100
98502106020
103315723840
111451704440
12786519800
1340ac29290
14236510252
1514615ba60
hexc5a1ee40

3315723840 has 672 divisors, whose sum is σ = 13699760256. Its totient is φ = 725483520.

The previous prime is 3315723821. The next prime is 3315723919. The reversal of 3315723840 is 483275133.

3315723840 is a `hidden beast` number, since 3 + 3 + 1 + 572 + 3 + 84 + 0 = 666.

It is a super-3 number, since 3×33157238403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3315723795 and 3315723804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34182672 + ... + 34182768.

It is an arithmetic number, because the mean of its divisors is an integer number (20386548).

Almost surely, 23315723840 is an apocalyptic number.

3315723840 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 3315723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6849880128).

3315723840 is an abundant number, since it is smaller than the sum of its proper divisors (10384036416).

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

3315723840 is a wasteful number, since it uses less digits than its factorization.

3315723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3315723840 is about 57582.3222873131. The cubic root of 3315723840 is about 1491.1664274494.

Adding to 3315723840 its reverse (483275133), we get a palindrome (3798998973).

The spelling of 3315723840 in words is "three billion, three hundred fifteen million, seven hundred twenty-three thousand, eight hundred forty".