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3399837480 = 233251317151283
BaseRepresentation
bin1100101010100101…
…0110011100101000
322202221101122020200
43022221112130220
523430324244410
61321210152200
7150152066424
oct31251263450
98687348220
103399837480
111495135246
127aa722660
13422499b70
14243767b84
1514d7243c0
hexcaa56728

3399837480 has 384 divisors, whose sum is σ = 12727653120. Its totient is φ = 779673600.

The previous prime is 3399837473. The next prime is 3399837499. The reversal of 3399837480 is 847389933.

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, 12013419 + ... + 12013701.

It is an arithmetic number, because the mean of its divisors is an integer number (33144930).

Almost surely, 23399837480 is an apocalyptic number.

3399837480 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 3399837480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6363826560).

3399837480 is an abundant number, since it is smaller than the sum of its proper divisors (9327815640).

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

3399837480 is a wasteful number, since it uses less digits than its factorization.

3399837480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3399837480 is about 58308.1253342962. The cubic root of 3399837480 is about 1503.6706369560.

The spelling of 3399837480 in words is "three billion, three hundred ninety-nine million, eight hundred thirty-seven thousand, four hundred eighty".