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3399356416 = 2129112
BaseRepresentation
bin1100101010011110…
…0001000000000000
322202220111012100111
43022213201000000
523430213401131
61321152001104
7150145024051
oct31247410000
98686435314
103399356416
111494936875
127aa530194
1342235bc01
14243680728
1514d67bab1
hexca9e1000

3399356416 has 39 divisors (see below), whose sum is σ = 6805353103. Its totient is φ = 1697812480.

The previous prime is 3399356393. The next prime is 3399356417. The reversal of 3399356416 is 6146539933.

The square root of 3399356416 is 58304.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3399356416.

It is not an unprimeable number, because it can be changed into a prime (3399356417) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3731001 + ... + 3731911.

Almost surely, 23399356416 is an apocalyptic number.

3399356416 is the 58304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3399356416

3399356416 is an abundant number, since it is smaller than the sum of its proper divisors (3405996687).

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

3399356416 is an frugal number, since it uses more digits than its factorization.

3399356416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 913 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 49.

The cubic root of 3399356416 is about 1503.5997123960.

Multiplying 3399356416 by its sum of digits (49), we get a square (166568464384 = 4081282).

It can be divided in two parts, 33993 and 56416, that added together give a palindrome (90409).

The spelling of 3399356416 in words is "three billion, three hundred ninety-nine million, three hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 911 1024 1822 2048 3644 4096 7288 14576 29152 58304 116608 233216 466432 829921 932864 1659842 1865728 3319684 3731456 6639368 13278736 26557472 53114944 106229888 212459776 424919552 849839104 1699678208 3399356416