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306147940 = 225723313067
BaseRepresentation
bin10010001111110…
…111001001100100
3210100001221000121
4102033313021210
51111333213230
650213451324
710405133410
oct2217671144
9710057017
10306147940
111478a352a
1286640b44
134b571237
142c933d40
151bd2577a
hex123f7264

306147940 has 96 divisors (see below), whose sum is σ = 791691264. Its totient is φ = 97130880.

The previous prime is 306147937. The next prime is 306147967. The reversal of 306147940 is 49741603.

It is a happy number.

It is a super-2 number, since 2×3061479402 = 187453122332487200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 306147896 and 306147905.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98287 + ... + 101353.

It is an arithmetic number, because the mean of its divisors is an integer number (8246784).

Almost surely, 2306147940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306147940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395845632).

306147940 is an abundant number, since it is smaller than the sum of its proper divisors (485543324).

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

306147940 is a wasteful number, since it uses less digits than its factorization.

306147940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 306147940 is about 17497.0837570151. The cubic root of 306147940 is about 673.9749893128.

The spelling of 306147940 in words is "three hundred six million, one hundred forty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 31 35 46 62 70 92 115 124 140 155 161 217 230 310 322 434 460 620 644 713 805 868 1085 1426 1610 2170 2852 3067 3220 3565 4340 4991 6134 7130 9982 12268 14260 15335 19964 21469 24955 30670 42938 49910 61340 70541 85876 95077 99820 107345 141082 190154 214690 282164 352705 380308 429380 475385 493787 665539 705410 950770 987574 1331078 1410820 1901540 1975148 2186771 2468935 2662156 3327695 4373542 4937870 6655390 8747084 9875740 10933855 13310780 15307397 21867710 30614794 43735420 61229588 76536985 153073970 306147940