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3399622144 = 2914944563
BaseRepresentation
bin1100101010100010…
…0001111000000000
322202220222200212021
43022220201320000
523430300402034
61321201411224
7150150211552
oct31250417000
98686880767
103399622144
111494aa8486
127aa639b14
13422422b49
1424370d4d2
1514d6d06b4
hexcaa21e00

3399622144 has 40 divisors (see below), whose sum is σ = 6838345800. Its totient is φ = 1688365056.

The previous prime is 3399622103. The next prime is 3399622151. The reversal of 3399622144 is 4412269933.

It is a self number, because there is not a number n which added to its sum of digits gives 3399622144.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 54007 + ... + 98569.

It is an arithmetic number, because the mean of its divisors is an integer number (170958645).

Almost surely, 23399622144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3399622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419172900).

3399622144 is an abundant number, since it is smaller than the sum of its proper divisors (3438723656).

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

3399622144 is an equidigital number, since it uses as much as digits as its factorization.

3399622144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44730 (or 44714 counting only the distinct ones).

The product of its digits is 279936, while the sum is 43.

The square root of 3399622144 is about 58306.2787699575. The cubic root of 3399622144 is about 1503.6388902173.

The spelling of 3399622144 in words is "three billion, three hundred ninety-nine million, six hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 512 596 1192 2384 4768 9536 19072 38144 44563 76288 89126 178252 356504 713008 1426016 2852032 5704064 6639887 11408128 13279774 22816256 26559548 53119096 106238192 212476384 424952768 849905536 1699811072 3399622144