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3404840912 = 2411591312503
BaseRepresentation
bin1100101011110001…
…1011111111010000
322210021210211122222
43022330123333100
523433114402122
61321505320212
7150242445614
oct31274337720
98707724588
103404840912
111497a42410
127b0336068
1342352c385
142442ab344
1514ddb1b42
hexcaf1bfd0

3404840912 has 80 divisors (see below), whose sum is σ = 7377384960. Its totient is φ = 1509206400.

The previous prime is 3404840911. The next prime is 3404840939. The reversal of 3404840912 is 2190484043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404840911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1359053 + ... + 1361555.

It is an arithmetic number, because the mean of its divisors is an integer number (92217312).

Almost surely, 23404840912 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 3404840912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688692480).

3404840912 is an abundant number, since it is smaller than the sum of its proper divisors (3972544048).

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

3404840912 is a wasteful number, since it uses less digits than its factorization.

3404840912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 3404840912 is about 58351.0146612722. The cubic root of 3404840912 is about 1504.4079100498.

The spelling of 3404840912 in words is "three billion, four hundred four million, eight hundred forty thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 59 88 118 131 176 236 262 472 524 649 944 1048 1298 1441 2096 2503 2596 2882 5006 5192 5764 7729 10012 10384 11528 15458 20024 23056 27533 30916 40048 55066 61832 85019 110132 123664 147677 170038 220264 295354 327893 340076 440528 590708 655786 680152 1181416 1311572 1360304 1624447 2362832 2623144 3248894 3606823 5246288 6497788 7213646 12995576 14427292 19345687 25991152 28854584 38691374 57709168 77382748 154765496 212802557 309530992 425605114 851210228 1702420456 3404840912