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5340000435 = 357112420307
BaseRepresentation
bin1001111100100100…
…11111000010110011
3111210011011010110220
410332102133002303
541414020003220
62241514424123
7246221153250
oct47622370263
914704133426
105340000435
1122a0322400
121050432043
13671423493
143892c8427
15213c17540
hex13e49f0b3

5340000435 has 48 divisors (see below), whose sum is σ = 10732985088. Its totient is φ = 2219215680.

The previous prime is 5340000431. The next prime is 5340000473.

It is a happy number.

5340000435 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5340000435 - 22 = 5340000431 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5340000431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197449 + ... + 222858.

It is an arithmetic number, because the mean of its divisors is an integer number (223603856).

Almost surely, 25340000435 is an apocalyptic number.

5340000435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5340000435 is an abundant number, since it is smaller than the sum of its proper divisors (5392984653).

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

5340000435 is a wasteful number, since it uses less digits than its factorization.

5340000435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420344 (or 420333 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 5340000435 is about 73075.3066021621. The cubic root of 5340000435 is about 1747.8886575385. Note that the first 3 decimals are identical.

It can be divided in two parts, 5340000 and 435, that added together give a palindrome (5340435).

The spelling of 5340000435 in words is "five billion, three hundred forty million, four hundred thirty-five", and thus it is an aban number.

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 121 165 231 363 385 605 847 1155 1815 2541 4235 12705 420307 1260921 2101535 2942149 4623377 6304605 8826447 13870131 14710745 23116885 32363639 44132235 50857147 69350655 97090917 152571441 161818195 254285735 356000029 485454585 762857205 1068000087 1780000145 5340000435