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3393411840 = 28335713283
BaseRepresentation
bin1100101001000011…
…0101101100000000
322202111022011221000
43022100311230000
523422203134330
61320420332000
7150043344660
oct31220655400
98674264830
103393411840
1114915465a5
127a8544000
1342105a200
142429741a0
1514cda5560
hexca435b00

3393411840 has 864 divisors, whose sum is σ = 15081776640. Its totient is φ = 707346432.

The previous prime is 3393411839. The next prime is 3393411841. The reversal of 3393411840 is 481143933.

It is an interprime number because it is at equal distance from previous prime (3393411839) and next prime (3393411841).

It is a tau number, because it is divible by the number of its divisors (864).

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 = 3393411795 and 3393411804.

It is not an unprimeable number, because it can be changed into a prime (3393411841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40884439 + ... + 40884521.

It is an arithmetic number, because the mean of its divisors is an integer number (17455760).

Almost surely, 23393411840 is an apocalyptic number.

3393411840 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 3393411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7540888320).

3393411840 is an abundant number, since it is smaller than the sum of its proper divisors (11688364800).

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

3393411840 is a wasteful number, since it uses less digits than its factorization.

3393411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3393411840 is about 58252.9985494309. The cubic root of 3393411840 is about 1502.7227348198.

The spelling of 3393411840 in words is "three billion, three hundred ninety-three million, four hundred eleven thousand, eight hundred forty".