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3345534000 = 243253238081
BaseRepresentation
bin1100011101101000…
…1100110000110000
322122011012201212200
43013122030300300
523322424042000
61311550223200
7145622366304
oct30732146060
98564181780
103345534000
111467515236
127944b4b00
13414165a23
1423a46dd04
15148a99500
hexc768cc30

3345534000 has 240 divisors, whose sum is σ = 12194380224. Its totient is φ = 853248000.

The previous prime is 3345533993. The next prime is 3345534001. The reversal of 3345534000 is 4355433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×33455340002 = 22385195490312000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3345534001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409960 + ... + 418040.

Almost surely, 23345534000 is an apocalyptic number.

3345534000 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 3345534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097190112).

3345534000 is an abundant number, since it is smaller than the sum of its proper divisors (8848846224).

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

3345534000 is a wasteful number, since it uses less digits than its factorization.

3345534000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8133 (or 8114 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 3345534000 is about 57840.5912832848. The cubic root of 3345534000 is about 1495.6219005961.

Adding to 3345534000 its reverse (4355433), we get a palindrome (3349889433).

The spelling of 3345534000 in words is "three billion, three hundred forty-five million, five hundred thirty-four thousand".