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303314130 = 23257716781
BaseRepresentation
bin10010000101000…
…011010011010010
3210010201221202200
4102011003103102
51110122023010
650033024030
710342061520
oct2205032322
9703657680
10303314130
11146238439
12856b5016
134aabb422
142c3d7310
151b965cc0
hex121434d2

303314130 has 96 divisors (see below), whose sum is σ = 914105088. Its totient is φ = 68342400.

The previous prime is 303314129. The next prime is 303314237. The reversal of 303314130 is 31413303.

It is a super-2 number, since 2×3033141302 = 183998922915313800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41340 + ... + 48120.

It is an arithmetic number, because the mean of its divisors is an integer number (9521928).

Almost surely, 2303314130 is an apocalyptic number.

303314130 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 303314130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457052544).

303314130 is an abundant number, since it is smaller than the sum of its proper divisors (610790958).

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

303314130 is a wasteful number, since it uses less digits than its factorization.

303314130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6872 (or 6869 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 303314130 is about 17415.9159965820. The cubic root of 303314130 is about 671.8890255734.

Adding to 303314130 its reverse (31413303), we get a palindrome (334727433).

The spelling of 303314130 in words is "three hundred three million, three hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 71 90 105 126 142 210 213 315 355 426 497 630 639 710 994 1065 1278 1491 2130 2485 2982 3195 4473 4970 6390 6781 7455 8946 13562 14910 20343 22365 33905 40686 44730 47467 61029 67810 94934 101715 122058 142401 203430 237335 284802 305145 427203 474670 481451 610290 712005 854406 962902 1424010 1444353 2136015 2407255 2888706 3370157 4272030 4333059 4814510 6740314 7221765 8666118 10110471 14443530 16850785 20220942 21665295 30331413 33701570 43330590 50552355 60662826 101104710 151657065 303314130