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34724340 = 223257231127
BaseRepresentation
bin1000010001110…
…1100111110100
32102100011211200
42010131213310
532342134330
63240132500
7601103100
oct204354764
972304750
1034724340
1118667a02
12b767130
13726a461
14487c900
1530ada60
hex211d9f4

34724340 has 216 divisors, whose sum is σ = 127475712. Its totient is φ = 7620480.

The previous prime is 34724321. The next prime is 34724341. The reversal of 34724340 is 4342743.

34724340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34724341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 273357 + ... + 273483.

Almost surely, 234724340 is an apocalyptic number.

34724340 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 34724340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63737856).

34724340 is an abundant number, since it is smaller than the sum of its proper divisors (92751372).

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

34724340 is a wasteful number, since it uses less digits than its factorization.

34724340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 34724340 is about 5892.7362065512. The cubic root of 34724340 is about 326.2456026183.

The spelling of 34724340 in words is "thirty-four million, seven hundred twenty-four thousand, three hundred forty".