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3397260240 = 243251131101137
BaseRepresentation
bin1100101001111110…
…0001001111010000
322202202112200221100
43022133201033100
523424144311430
61321035024400
7150121143543
oct31237411720
98682480840
103397260240
1114937349a0
127a989b100
13421aa6a7a
1424329685a
1514d3b5960
hexca7e13d0

3397260240 has 480 divisors, whose sum is σ = 13069734912. Its totient is φ = 783360000.

The previous prime is 3397260131. The next prime is 3397260257. The reversal of 3397260240 is 420627933.

It is a happy number.

3397260240 is a `hidden beast` number, since 3 + 3 + 9 + 7 + 2 + 602 + 40 = 666.

3397260240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3397260195 and 3397260204.

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, 24797452 + ... + 24797588.

Almost surely, 23397260240 is an apocalyptic number.

3397260240 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 3397260240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6534867456).

3397260240 is an abundant number, since it is smaller than the sum of its proper divisors (9672474672).

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

3397260240 is a wasteful number, since it uses less digits than its factorization.

3397260240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3397260240 is about 58286.0209655797. The cubic root of 3397260240 is about 1503.2905894023.

The spelling of 3397260240 in words is "three billion, three hundred ninety-seven million, two hundred sixty thousand, two hundred forty".