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3405707104 = 251729613539
BaseRepresentation
bin1100101011111110…
…1111011101100000
322210100102211212011
43022333233131200
523433330111404
61321540042304
7150253014142
oct31277573540
98710384764
103405707104
111498484178
127b0693394
13423773707
14244454c92
1514ded3604
hexcafef760

3405707104 has 96 divisors (see below), whose sum is σ = 7466709600. Its totient is φ = 1521623040.

The previous prime is 3405707101. The next prime is 3405707141. The reversal of 3405707104 is 4017075043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405707101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 960567 + ... + 964105.

It is an arithmetic number, because the mean of its divisors is an integer number (77778225).

Almost surely, 23405707104 is an apocalyptic number.

3405707104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3405707104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733354800).

3405707104 is an abundant number, since it is smaller than the sum of its proper divisors (4061002496).

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

3405707104 is a wasteful number, since it uses less digits than its factorization.

3405707104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 3405707104 is about 58358.4364423859. The cubic root of 3405707104 is about 1504.5354730934.

The spelling of 3405707104 in words is "three billion, four hundred five million, seven hundred seven thousand, one hundred four".

Divisors: 1 2 4 8 16 17 29 32 34 58 61 68 116 122 136 232 244 272 464 488 493 544 928 976 986 1037 1769 1952 1972 2074 3538 3539 3944 4148 7076 7078 7888 8296 14152 14156 15776 16592 28304 28312 30073 33184 56608 56624 60146 60163 102631 113248 120292 120326 205262 215879 240584 240652 410524 431758 481168 481304 821048 863516 962336 962608 1642096 1727032 1744727 1925216 3284192 3454064 3489454 3669943 6260491 6908128 6978908 7339886 12520982 13957816 14679772 25041964 27915632 29359544 50083928 55831264 58719088 100167856 106428347 117438176 200335712 212856694 425713388 851426776 1702853552 3405707104