Search a number
-
+
3412407570 = 23511132692957
BaseRepresentation
bin1100101101100101…
…0011010100010010
322210211001021011120
43023121103110102
523442034020240
61322335423110
7150363662055
oct31331232422
98724037146
103412407570
1114a1240350
127b2984a96
13424c7b4a0
142452baa9c
1514e8a8ad0
hexcb653512

3412407570 has 128 divisors (see below), whose sum is σ = 9660591360. Its totient is φ = 760519680.

The previous prime is 3412407563. The next prime is 3412407571. The reversal of 3412407570 is 757042143.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3412407571) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1152532 + ... + 1155488.

It is an arithmetic number, because the mean of its divisors is an integer number (75473370).

Almost surely, 23412407570 is an apocalyptic number.

3412407570 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412407570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830295680).

3412407570 is an abundant number, since it is smaller than the sum of its proper divisors (6248183790).

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

3412407570 is a wasteful number, since it uses less digits than its factorization.

3412407570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260.

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 3412407570 is about 58415.8160946160. The cubic root of 3412407570 is about 1505.5215125498.

The spelling of 3412407570 in words is "three billion, four hundred twelve million, four hundred seven thousand, five hundred seventy".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 269 286 330 390 429 538 715 807 858 1345 1430 1614 2145 2690 2957 2959 3497 4035 4290 5914 5918 6994 8070 8871 8877 10491 14785 14795 17485 17742 17754 20982 29570 29590 32527 34970 38441 38467 44355 44385 52455 65054 76882 76934 88710 88770 97581 104910 115323 115401 162635 192205 192335 195162 230646 230802 325270 384410 384670 422851 487905 576615 577005 795433 845702 975810 1153230 1154010 1268553 1590866 2114255 2386299 2537106 3977165 4228510 4772598 6342765 7954330 8749763 10340629 11931495 12685530 17499526 20681258 23862990 26249289 31021887 43748815 51703145 52498578 62043774 87497630 103406290 113746919 131246445 155109435 227493838 262492890 310218870 341240757 568734595 682481514 1137469190 1706203785 3412407570