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4102034320 = 245349146921
BaseRepresentation
bin1111010010000000…
…0001001110010000
3101120212200221020001
43310200001032100
531400110044240
61515012455344
7203436500506
oct36440011620
911525627201
104102034320
11181554510a
1296591a554
13504ac8157
142acb14676
151901cc89a
hexf4801390

4102034320 has 40 divisors (see below), whose sum is σ = 9564622200. Its totient is φ = 1636101120.

The previous prime is 4102034257. The next prime is 4102034353. The reversal of 4102034320 is 234302014.

It can be written as a sum of positive squares in 4 ways, for example, as 257538304 + 3844496016 = 16048^2 + 62004^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45541 + ... + 101380.

It is an arithmetic number, because the mean of its divisors is an integer number (239115555).

Almost surely, 24102034320 is an apocalyptic number.

4102034320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4102034320 is an abundant number, since it is smaller than the sum of its proper divisors (5462587880).

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

4102034320 is a wasteful number, since it uses less digits than its factorization.

4102034320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147283 (or 147277 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4102034320 is about 64047.1257746981. The cubic root of 4102034320 is about 1600.7853332193.

Adding to 4102034320 its reverse (234302014), we get a palindrome (4336336334).

The spelling of 4102034320 in words is "four billion, one hundred two million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 349 698 1396 1745 2792 3490 5584 6980 13960 27920 146921 293842 587684 734605 1175368 1469210 2350736 2938420 5876840 11753680 51275429 102550858 205101716 256377145 410203432 512754290 820406864 1025508580 2051017160 4102034320