Search a number
-
+
3342540 = 22351729113
BaseRepresentation
bin1100110000000011001100
320021211002210
430300003030
51323430130
6155350420
740261005
oct14600314
96254083
103342540
111983333
121152410
13900546
146301ac
154605b0
hex3300cc

3342540 has 96 divisors (see below), whose sum is σ = 10342080. Its totient is φ = 802816.

The previous prime is 3342539. The next prime is 3342541. The reversal of 3342540 is 452433.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3342539) and next prime (3342541).

It is a super-2 number, since 2×33425402 = 22345147303200, which contains 22 as substring.

It is a zygodrome in base 2 and base 16.

It is not an unprimeable number, because it can be changed into a prime (3342541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29524 + ... + 29636.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

Almost surely, 23342540 is an apocalyptic number.

3342540 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 3342540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040).

3342540 is an abundant number, since it is smaller than the sum of its proper divisors (6999540).

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

3342540 is a wasteful number, since it uses less digits than its factorization.

3342540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3342540 is about 1828.2614692653. The cubic root of 3342540 is about 149.5175611262.

Adding to 3342540 its reverse (452433), we get a palindrome (3794973).

The spelling of 3342540 in words is "three million, three hundred forty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 113 116 145 170 174 204 226 255 290 339 340 348 435 452 493 510 565 580 678 870 986 1020 1130 1356 1479 1695 1740 1921 1972 2260 2465 2958 3277 3390 3842 4930 5763 5916 6554 6780 7395 7684 9605 9831 9860 11526 13108 14790 16385 19210 19662 23052 28815 29580 32770 38420 39324 49155 55709 57630 65540 98310 111418 115260 167127 196620 222836 278545 334254 557090 668508 835635 1114180 1671270 3342540