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3074640 = 243523557
BaseRepresentation
bin1011101110101001010000
312210012121120
423232221100
51241342030
6145522240
735063652
oct13565120
95705546
103074640
111810028
121043380
1383861a
145a06d2
1540b010
hex2eea50

3074640 has 80 divisors (see below), whose sum is σ = 9963648. Its totient is φ = 782848.

The previous prime is 3074633. The next prime is 3074641. The reversal of 3074640 is 464703.

3074640 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×30746402 = 18906822259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3074640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3074641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5242 + ... + 5798.

Almost surely, 23074640 is an apocalyptic number.

3074640 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 3074640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981824).

3074640 is an abundant number, since it is smaller than the sum of its proper divisors (6889008).

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

3074640 is a wasteful number, since it uses less digits than its factorization.

3074640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 3074640 is about 1753.4651407998. The cubic root of 3074640 is about 145.4112778504.

The spelling of 3074640 in words is "three million, seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 557 690 920 1104 1114 1380 1671 1840 2228 2760 2785 3342 4456 5520 5570 6684 8355 8912 11140 12811 13368 16710 22280 25622 26736 33420 38433 44560 51244 64055 66840 76866 102488 128110 133680 153732 192165 204976 256220 307464 384330 512440 614928 768660 1024880 1537320 3074640