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34082340 = 22353471637
BaseRepresentation
bin1000001000000…
…0111000100100
32101010120011220
42002000320210
532211113330
63214300340
7562460265
oct202007044
971116156
1034082340
1118269626
12b4b76b0
1370a4186
14475296c
152ed3710
hex2080e24

34082340 has 48 divisors (see below), whose sum is σ = 95764032. Its totient is φ = 9056896.

The previous prime is 34082329. The next prime is 34082351. The reversal of 34082340 is 4328043.

It is an interprime number because it is at equal distance from previous prime (34082329) and next prime (34082351).

It is a self number, because there is not a number n which added to its sum of digits gives 34082340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20002 + ... + 21638.

It is an arithmetic number, because the mean of its divisors is an integer number (1995084).

Almost surely, 234082340 is an apocalyptic number.

34082340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34082340 is an abundant number, since it is smaller than the sum of its proper divisors (61681692).

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

34082340 is a wasteful number, since it uses less digits than its factorization.

34082340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 34082340 is about 5838.0082219880. The cubic root of 34082340 is about 324.2224885493. Note that the first 3 decimals are identical.

The spelling of 34082340 in words is "thirty-four million, eighty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 347 694 1041 1388 1637 1735 2082 3274 3470 4164 4911 5205 6548 6940 8185 9822 10410 16370 19644 20820 24555 32740 49110 98220 568039 1136078 1704117 2272156 2840195 3408234 5680390 6816468 8520585 11360780 17041170 34082340