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3371406240 = 253523319851
BaseRepresentation
bin1100100011110011…
…1001001110100000
322200221220011220210
43020330321032200
523401034444430
61314312534120
7146355323466
oct31074711640
98627804823
103371406240
111480086454
127a10b1340
13419623c47
1423da86836
1514aeaa2b0
hexc8f393a0

3371406240 has 192 divisors, whose sum is σ = 11440300032. Its totient is φ = 832128000.

The previous prime is 3371406239. The next prime is 3371406257. The reversal of 3371406240 is 426041733.

It is a super-2 number, since 2×33714062402 = 22732760070221875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3371406198 and 3371406207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337315 + ... + 347165.

It is an arithmetic number, because the mean of its divisors is an integer number (59584896).

Almost surely, 23371406240 is an apocalyptic number.

3371406240 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 3371406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720150016).

3371406240 is an abundant number, since it is smaller than the sum of its proper divisors (8068893792).

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

3371406240 is a wasteful number, since it uses less digits than its factorization.

3371406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9923 (or 9915 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3371406240 is about 58063.8117935776. The cubic root of 3371406240 is about 1499.4674020264.

Adding to 3371406240 its reverse (426041733), we get a palindrome (3797447973).

The spelling of 3371406240 in words is "three billion, three hundred seventy-one million, four hundred six thousand, two hundred forty".