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3399008144 = 247311397043
BaseRepresentation
bin1100101010011000…
…1011111110010000
322202212211111121112
43022212023332100
523430121230034
61321140312452
7150142043510
oct31246137620
98685744545
103399008144
111494719144
127aa3a2728
1342226952c
142435cd840
1514d60d7ce
hexca98bf90

3399008144 has 80 divisors (see below), whose sum is σ = 7826165760. Its totient is φ = 1399386240.

The previous prime is 3399008111. The next prime is 3399008159. The reversal of 3399008144 is 4418009933.

3399008144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479087 + ... + 486129.

It is an arithmetic number, because the mean of its divisors is an integer number (97827072).

Almost surely, 23399008144 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 3399008144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913082880).

3399008144 is an abundant number, since it is smaller than the sum of its proper divisors (4427157616).

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

3399008144 is a wasteful number, since it uses less digits than its factorization.

3399008144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7228 (or 7222 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 3399008144 is about 58301.0132330477. The cubic root of 3399008144 is about 1503.5483615422.

The spelling of 3399008144 in words is "three billion, three hundred ninety-nine million, eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 139 217 248 278 434 496 556 868 973 1112 1736 1946 2224 3472 3892 4309 7043 7784 8618 14086 15568 17236 28172 30163 34472 49301 56344 60326 68944 98602 112688 120652 197204 218333 241304 394408 436666 482608 788816 873332 978977 1528331 1746664 1957954 3056662 3493328 3915908 6113324 6852839 7831816 12226648 13705678 15663632 24453296 27411356 30348287 54822712 60696574 109645424 121393148 212438009 242786296 424876018 485572592 849752036 1699504072 3399008144