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34306240 = 265472281
BaseRepresentation
bin1000001011011…
…1100011000000
32101112221022111
42002313203000
532240244430
63223145104
7564412123
oct202674300
971487274
1034306240
1118401871
12b5a5194
137152067
1447b03ba
153029c2a
hex20b78c0

34306240 has 56 divisors (see below), whose sum is σ = 83466432. Its totient is φ = 13424640.

The previous prime is 34306231. The next prime is 34306241. The reversal of 34306240 is 4260343.

It is not an unprimeable number, because it can be changed into a prime (34306241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13900 + ... + 16180.

It is an arithmetic number, because the mean of its divisors is an integer number (1490472).

Almost surely, 234306240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41733216).

34306240 is an abundant number, since it is smaller than the sum of its proper divisors (49160192).

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

34306240 is a wasteful number, since it uses less digits than its factorization.

34306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 34306240 is about 5857.1528919775. The cubic root of 34306240 is about 324.9309202292.

Adding to 34306240 its reverse (4260343), we get a palindrome (38566583).

The spelling of 34306240 in words is "thirty-four million, three hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 235 320 376 470 752 940 1504 1880 2281 3008 3760 4562 7520 9124 11405 15040 18248 22810 36496 45620 72992 91240 107207 145984 182480 214414 364960 428828 536035 729920 857656 1072070 1715312 2144140 3430624 4288280 6861248 8576560 17153120 34306240