Search a number
-
+
342085560 = 233517612749
BaseRepresentation
bin10100011000111…
…100111110111000
3212211200202011120
4110120330332320
51200033214220
653540025240
711322451665
oct2430747670
9784622146
10342085560
11166109a43
1296692220
1355b449bb
143360aa6c
1520073a40
hex1463cfb8

342085560 has 128 divisors (see below), whose sum is σ = 1104840000. Its totient is φ = 84418560.

The previous prime is 342085531. The next prime is 342085567. The reversal of 342085560 is 65580243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342085567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123066 + ... + 125814.

Almost surely, 2342085560 is an apocalyptic number.

342085560 is a gapful number since it is divisible by the number (30) 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 342085560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552420000).

342085560 is an abundant number, since it is smaller than the sum of its proper divisors (762754440).

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

342085560 is a wasteful number, since it uses less digits than its factorization.

342085560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 342085560 is about 18495.5551417090. Note that the first 3 decimals coincide. The cubic root of 342085560 is about 699.3773783402.

The spelling of 342085560 in words is "three hundred forty-two million, eighty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 61 68 85 102 120 122 136 170 183 204 244 255 305 340 366 408 488 510 610 680 732 915 1020 1037 1220 1464 1830 2040 2074 2440 2749 3111 3660 4148 5185 5498 6222 7320 8247 8296 10370 10996 12444 13745 15555 16494 20740 21992 24888 27490 31110 32988 41235 41480 46733 54980 62220 65976 82470 93466 109960 124440 140199 164940 167689 186932 233665 280398 329880 335378 373864 467330 503067 560796 670756 700995 838445 934660 1006134 1121592 1341512 1401990 1676890 1869320 2012268 2515335 2803980 2850713 3353780 4024536 5030670 5607960 5701426 6707560 8552139 10061340 11402852 14253565 17104278 20122680 22805704 28507130 34208556 42760695 57014260 68417112 85521390 114028520 171042780 342085560