Search a number
-
+
305162070 = 235172947439
BaseRepresentation
bin10010001100000…
…110011101010110
3210021012211122220
4102030012131112
51111110141240
650140403210
710363556223
oct2214063526
9707184586
10305162070
1114728a864
1286246506
134b2b7595
142c75894a
151bbcd5d0
hex12306756

305162070 has 128 divisors (see below), whose sum is σ = 821145600. Its totient is φ = 72210432.

The previous prime is 305162027. The next prime is 305162089. The reversal of 305162070 is 70261503.

It is a self number, because there is not a number n which added to its sum of digits gives 305162070.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 694911 + ... + 695349.

It is an arithmetic number, because the mean of its divisors is an integer number (6415200).

Almost surely, 2305162070 is an apocalyptic number.

305162070 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 305162070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410572800).

305162070 is an abundant number, since it is smaller than the sum of its proper divisors (515983530).

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

305162070 is a wasteful number, since it uses less digits than its factorization.

305162070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 305162070 is about 17468.8886309347. Note that the first 3 decimals coincide. The cubic root of 305162070 is about 673.2507574998.

The spelling of 305162070 in words is "three hundred five million, one hundred sixty-two thousand, seventy".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 47 51 58 85 87 94 102 141 145 170 174 235 255 282 290 435 439 470 493 510 705 799 870 878 986 1317 1363 1410 1479 1598 2195 2397 2465 2634 2726 2958 3995 4089 4390 4794 4930 6585 6815 7395 7463 7990 8178 11985 12731 13170 13630 14790 14926 20445 20633 22389 23171 23970 25462 37315 38193 40890 41266 44778 46342 61899 63655 69513 74630 76386 103165 111945 115855 123798 127310 139026 190965 206330 216427 223890 231710 309495 347565 350761 381930 432854 598357 618990 649281 695130 701522 1052283 1082135 1196714 1298562 1753805 1795071 2104566 2164270 2991785 3246405 3507610 3590142 5261415 5983570 6492810 8975355 10172069 10522830 17950710 20344138 30516207 50860345 61032414 101720690 152581035 305162070