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3068533440 = 263257198011
BaseRepresentation
bin1011011011100110…
…0001101011000000
321220211222122112200
42312321201223000
522241021032230
61224253153200
7136020050430
oct26671415300
97824878480
103068533440
11133511a655
1271778b800
1339b95b67b
142117662c0
1512e5d0160
hexb6e61ac0

3068533440 has 336 divisors, whose sum is σ = 12698699520. Its totient is φ = 664381440.

The previous prime is 3068533427. The next prime is 3068533463. The reversal of 3068533440 is 443358603.

3068533440 is a `hidden beast` number, since 306 + 8 + 5 + 3 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 3068533395 and 3068533404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379035 + ... + 387045.

Almost surely, 23068533440 is an apocalyptic number.

3068533440 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 3068533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6349349760).

3068533440 is an abundant number, since it is smaller than the sum of its proper divisors (9630166080).

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

3068533440 is a wasteful number, since it uses less digits than its factorization.

3068533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8060 (or 8047 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3068533440 is about 55394.3448377179. The cubic root of 3068533440 is about 1453.1494665877.

The spelling of 3068533440 in words is "three billion, sixty-eight million, five hundred thirty-three thousand, four hundred forty".