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7949340 = 223457701
BaseRepresentation
bin11110010100110000011100
3112221212110000
4132110300130
54013334330
6442214300
7124365630
oct36246034
915855400
107949340
11453a503
1227b4390
131854369
1410acdc0
15a70560
hex794c1c

7949340 has 120 divisors (see below), whose sum is σ = 28540512. Its totient is φ = 1814400.

The previous prime is 7949327. The next prime is 7949369. The reversal of 7949340 is 439497.

It is a super-3 number, since 3×79493403 (a number of 22 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7949295 and 7949304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10990 + ... + 11690.

Almost surely, 27949340 is an apocalyptic number.

7949340 is a gapful number since it is divisible by the number (70) 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 7949340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14270256).

7949340 is an abundant number, since it is smaller than the sum of its proper divisors (20591172).

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

7949340 is a wasteful number, since it uses less digits than its factorization.

7949340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 7949340 is about 2819.4573946063. The cubic root of 7949340 is about 199.5769390615.

The spelling of 7949340 in words is "seven million, nine hundred forty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 701 756 810 945 1134 1260 1402 1620 1890 2103 2268 2804 2835 3505 3780 4206 4907 5670 6309 7010 8412 9814 10515 11340 12618 14020 14721 18927 19628 21030 24535 25236 29442 31545 37854 42060 44163 49070 56781 58884 63090 73605 75708 88326 94635 98140 113562 126180 132489 147210 176652 189270 220815 227124 264978 283905 294420 378540 397467 441630 529956 567810 662445 794934 883260 1135620 1324890 1589868 1987335 2649780 3974670 7949340