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34024346352 = 243378760061
BaseRepresentation
bin11111101100000000…
…100101001011110000
310020211012210212202000
4133230000211023300
51024140213040402
623344111454000
72313104113023
oct375400451360
9106735725660
1034024346352
111347a947007
126716827300
13329305c329
14190aad91ba
15d420acc1c
hex7ec0252f0

34024346352 has 40 divisors (see below), whose sum is σ = 97662476880. Its totient is φ = 11341448640.

The previous prime is 34024346351. The next prime is 34024346359. The reversal of 34024346352 is 25364342043.

34024346352 is a `hidden beast` number, since 340 + 243 + 46 + 35 + 2 = 666.

It is a super-2 number, since 2×340243463522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34024346351) 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, 39379599 + ... + 39380462.

It is an arithmetic number, because the mean of its divisors is an integer number (2441561922).

Almost surely, 234024346352 is an apocalyptic number.

It is an amenable number.

34024346352 is an abundant number, since it is smaller than the sum of its proper divisors (63638130528).

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

34024346352 is a wasteful number, since it uses less digits than its factorization.

34024346352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78760078 (or 78760066 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 34024346352 its reverse (25364342043), we get a palindrome (59388688395).

The spelling of 34024346352 in words is "thirty-four billion, twenty-four million, three hundred forty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 78760061 157520122 236280183 315040244 472560366 630080488 708840549 945120732 1260160976 1417681098 1890241464 2126521647 2835362196 3780482928 4253043294 5670724392 8506086588 11341448784 17012173176 34024346352