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343112070 = 235719113761
BaseRepresentation
bin10100011100110…
…111100110000110
3212220121220021110
4110130313212012
51200314041240
654014025450
711334255510
oct2434674606
9786556243
10343112070
111667501a4
1296aa8286
1356113cc2
14337d6bb0
15201c7c80
hex14737986

343112070 has 128 divisors (see below), whose sum is σ = 1000719360. Its totient is φ = 73543680.

The previous prime is 343112069. The next prime is 343112141. The reversal of 343112070 is 70211343.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450490 + ... + 451250.

It is an arithmetic number, because the mean of its divisors is an integer number (7818120).

Almost surely, 2343112070 is an apocalyptic number.

343112070 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 343112070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500359680).

343112070 is an abundant number, since it is smaller than the sum of its proper divisors (657607290).

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

343112070 is a wasteful number, since it uses less digits than its factorization.

343112070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 343112070 is about 18523.2845359564. The cubic root of 343112070 is about 700.0762297935.

The spelling of 343112070 in words is "three hundred forty-three million, one hundred twelve thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 113 114 133 190 210 226 266 285 339 399 565 570 665 678 761 791 798 1130 1330 1522 1582 1695 1995 2147 2283 2373 3390 3805 3955 3990 4294 4566 4746 5327 6441 7610 7910 10654 10735 11415 11865 12882 14459 15029 15981 21470 22830 23730 26635 28918 30058 31962 32205 43377 45087 53270 64410 72295 75145 79905 85993 86754 90174 101213 144590 150290 159810 171986 202426 216885 225435 257979 303639 429965 433770 450870 506065 515958 601951 607278 859930 1012130 1203902 1289895 1518195 1633867 1805853 2579790 3009755 3036390 3267734 3611706 4901601 6019510 8169335 9029265 9803202 11437069 16338670 18058530 22874138 24508005 34311207 49016010 57185345 68622414 114370690 171556035 343112070