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3406396112 = 24734115139
BaseRepresentation
bin1100101100001001…
…0111101011010000
322210101201211222222
43023002113223100
523434014133422
61322002520212
7150261614000
oct31302275320
98711654888
103406396112
1114989048a9
127b0966068
13423955202
14244594000
1514e0bc842
hexcb097ad0

3406396112 has 80 divisors (see below), whose sum is σ = 7884912000. Its totient is φ = 1424183040.

The previous prime is 3406396109. The next prime is 3406396127. The reversal of 3406396112 is 2116936043.

It is a happy number.

It is a congruent number.

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, 217439 + ... + 232577.

It is an arithmetic number, because the mean of its divisors is an integer number (98561400).

Almost surely, 23406396112 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 3406396112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942456000).

3406396112 is an abundant number, since it is smaller than the sum of its proper divisors (4478515888).

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

3406396112 is a wasteful number, since it uses less digits than its factorization.

3406396112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15209 (or 15189 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 3406396112 is about 58364.3393863068. The cubic root of 3406396112 is about 1504.6369270202.

The spelling of 3406396112 in words is "three billion, four hundred six million, three hundred ninety-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 164 196 287 328 343 392 574 656 686 784 1148 1372 2009 2296 2744 4018 4592 5488 8036 14063 15139 16072 28126 30278 32144 56252 60556 105973 112504 121112 211946 225008 242224 423892 620699 741811 847784 1241398 1483622 1695568 2482796 2967244 4344893 4965592 5192677 5934488 8689786 9931184 10385354 11868976 17379572 20770708 30414251 34759144 41541416 60828502 69518288 83082832 121657004 212899757 243314008 425799514 486628016 851599028 1703198056 3406396112