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34282507416 = 23331139331501
BaseRepresentation
bin11111111011011001…
…011000110010011000
310021111012120211010220
4133323121120302120
51030202310214131
623425453040040
72322360335133
oct377331306230
9107435524126
1034282507416
11135a2644263
126789186020
13330469b561
1419330db21a
15d59aa4e96
hex7fb658c98

34282507416 has 64 divisors (see below), whose sum is σ = 89107737600. Its totient is φ = 10979280000.

The previous prime is 34282507409. The next prime is 34282507429. The reversal of 34282507416 is 61470528243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62335 + ... + 269166.

It is an arithmetic number, because the mean of its divisors is an integer number (1392308400).

Almost surely, 234282507416 is an apocalyptic number.

It is an amenable number.

34282507416 is an abundant number, since it is smaller than the sum of its proper divisors (54825230184).

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

34282507416 is a wasteful number, since it uses less digits than its factorization.

34282507416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331680 (or 331676 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 34282507416 in words is "thirty-four billion, two hundred eighty-two million, five hundred seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 139 186 248 278 372 417 556 744 834 1112 1668 3336 4309 8618 12927 17236 25854 34472 51708 103416 331501 663002 994503 1326004 1989006 2652008 3978012 7956024 10276531 20553062 30829593 41106124 46078639 61659186 82212248 92157278 123318372 138235917 184314556 246636744 276471834 368629112 552943668 1105887336 1428437809 2856875618 4285313427 5713751236 8570626854 11427502472 17141253708 34282507416