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3068040 = 233537691
BaseRepresentation
bin1011101101000010001000
312202212120010
423231002020
51241134130
6145431520
735035503
oct13550210
95685503
103068040
111806078
12103b5a0
13835611
1459c13a
154090b0
hex2ed088

3068040 has 64 divisors (see below), whose sum is σ = 9466560. Its totient is φ = 794880.

The previous prime is 3068029. The next prime is 3068047. The reversal of 3068040 is 408603.

It is a super-4 number, since 4×30680404 (a number of 27 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3067998 and 3068016.

It is not an unprimeable number, because it can be changed into a prime (3068047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4095 + ... + 4785.

It is an arithmetic number, because the mean of its divisors is an integer number (147915).

Almost surely, 23068040 is an apocalyptic number.

3068040 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 3068040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733280).

3068040 is an abundant number, since it is smaller than the sum of its proper divisors (6398520).

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

3068040 is a wasteful number, since it uses less digits than its factorization.

3068040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3068040 is about 1751.5821419505. The cubic root of 3068040 is about 145.3071570472.

The spelling of 3068040 in words is "three million, sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 691 740 888 1110 1382 1480 2073 2220 2764 3455 4146 4440 5528 6910 8292 10365 13820 16584 20730 25567 27640 41460 51134 76701 82920 102268 127835 153402 204536 255670 306804 383505 511340 613608 767010 1022680 1534020 3068040