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34530240 = 263535969
BaseRepresentation
bin1000001110111…
…0001111000000
32101222022120210
42003232033000
532314431430
63232034120
7566334153
oct203561700
971868523
1034530240
1118545098
12b692940
1371cccc4
14482bc9a
1530712b0
hex20ee3c0

34530240 has 56 divisors (see below), whose sum is σ = 109636560. Its totient is φ = 9207808.

The previous prime is 34530233. The next prime is 34530299. The reversal of 34530240 is 4203543.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17025 + ... + 18944.

Almost surely, 234530240 is an apocalyptic number.

34530240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34530240 is an abundant number, since it is smaller than the sum of its proper divisors (75106320).

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

34530240 is a wasteful number, since it uses less digits than its factorization.

34530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35989 (or 35979 counting only the distinct ones).

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

The square root of 34530240 is about 5876.2436981460. The cubic root of 34530240 is about 325.6365905348.

Adding to 34530240 its reverse (4203543), we get a palindrome (38733783).

The spelling of 34530240 in words is "thirty-four million, five hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 35969 71938 107907 143876 179845 215814 287752 359690 431628 539535 575504 719380 863256 1079070 1151008 1438760 1726512 2158140 2302016 2877520 3453024 4316280 5755040 6906048 8632560 11510080 17265120 34530240