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34442340 = 22351733767
BaseRepresentation
bin1000001101100…
…0110001100100
32101210212000020
42003120301210
532304123330
63230115140
7565516662
oct203306144
971725006
1034442340
1118495049
12b64bab0
13719bcaa
144807c32
153055210
hex20d8c64

34442340 has 48 divisors (see below), whose sum is σ = 102114432. Its totient is φ = 8644096.

The previous prime is 34442329. The next prime is 34442347. The reversal of 34442340 is 4324443.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34442340.

It is not an unprimeable number, because it can be changed into a prime (34442347) 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, 15864 + ... + 17903.

It is an arithmetic number, because the mean of its divisors is an integer number (2127384).

Almost surely, 234442340 is an apocalyptic number.

34442340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34442340 is an abundant number, since it is smaller than the sum of its proper divisors (67672092).

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

34442340 is a wasteful number, since it uses less digits than its factorization.

34442340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33796 (or 33794 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 34442340 is about 5868.7596645288. The cubic root of 34442340 is about 325.3600428032.

Adding to 34442340 its reverse (4324443), we get a palindrome (38766783).

The spelling of 34442340 in words is "thirty-four million, four hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 33767 67534 101301 135068 168835 202602 337670 405204 506505 574039 675340 1013010 1148078 1722117 2026020 2296156 2870195 3444234 5740390 6888468 8610585 11480780 17221170 34442340