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3013440 = 26354373
BaseRepresentation
bin1011011111101101000000
312200002122220
423133231000
51232412230
6144331040
734420353
oct13375500
95602586
103013440
111779051
121013a80
13816801
1458629a
153e7d10
hex2dfb40

3013440 has 112 divisors (see below), whose sum is σ = 9924288. Its totient is φ = 774144.

The previous prime is 3013433. The next prime is 3013447. The reversal of 3013440 is 443103.

3013440 = T48 + T49 + ... + T262.

It is an interprime number because it is at equal distance from previous prime (3013433) and next prime (3013447).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013447) 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, 41244 + ... + 41316.

Almost surely, 23013440 is an apocalyptic number.

3013440 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 3013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962144).

3013440 is an abundant number, since it is smaller than the sum of its proper divisors (6910848).

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

3013440 is a wasteful number, since it uses less digits than its factorization.

3013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3013440 is about 1735.9262657152. The cubic root of 3013440 is about 144.4400121366.

Adding to 3013440 its reverse (443103), we get a palindrome (3456543).

It can be divided in two parts, 301 and 3440, that added together give a triangular number (3741 = T86).

The spelling of 3013440 in words is "three million, thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 73 80 86 96 120 129 146 160 172 192 215 219 240 258 292 320 344 365 430 438 480 516 584 645 688 730 860 876 960 1032 1095 1168 1290 1376 1460 1720 1752 2064 2190 2336 2580 2752 2920 3139 3440 3504 4128 4380 4672 5160 5840 6278 6880 7008 8256 8760 9417 10320 11680 12556 13760 14016 15695 17520 18834 20640 23360 25112 31390 35040 37668 41280 47085 50224 62780 70080 75336 94170 100448 125560 150672 188340 200896 251120 301344 376680 502240 602688 753360 1004480 1506720 3013440