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3499084320 = 253529416131
BaseRepresentation
bin1101000010001111…
…1100101000100000
3100000212010220022120
43100203330220200
524131231144240
61335113304240
7152465504004
oct32043745040
910025126276
103499084320
111536161926
12817a05080
13439c088c4
14252a00704
151572caad0
hexd08fca20

3499084320 has 192 divisors, whose sum is σ = 11682195840. Its totient is φ = 878796800.

The previous prime is 3499084301. The next prime is 3499084343. The reversal of 3499084320 is 234809943.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 567655 + ... + 573785.

It is an arithmetic number, because the mean of its divisors is an integer number (60844770).

Almost surely, 23499084320 is an apocalyptic number.

3499084320 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 3499084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5841097920).

3499084320 is an abundant number, since it is smaller than the sum of its proper divisors (8183111520).

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

3499084320 is a wasteful number, since it uses less digits than its factorization.

3499084320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6219 (or 6211 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 3499084320 is about 59153.0584162814. The cubic root of 3499084320 is about 1518.1620675421.

The spelling of 3499084320 in words is "three billion, four hundred ninety-nine million, eighty-four thousand, three hundred twenty".