Search a number
-
+
306946620 = 2232510715937
BaseRepresentation
bin10010010010111…
…010001000111100
3210101120111121100
4102102322020330
51112034242440
650242533100
710415001051
oct2222721074
9711514540
10306946620
111482995a2
1286967190
134b790926
142caa1028
151be32230
hex124ba23c

306946620 has 72 divisors (see below), whose sum is σ = 939831984. Its totient is φ = 81082368.

The previous prime is 306946597. The next prime is 306946639. The reversal of 306946620 is 26649603.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 11292 + ... + 27228.

It is an arithmetic number, because the mean of its divisors is an integer number (13053222).

Almost surely, 2306946620 is an apocalyptic number.

306946620 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 306946620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469915992).

306946620 is an abundant number, since it is smaller than the sum of its proper divisors (632885364).

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

306946620 is a wasteful number, since it uses less digits than its factorization.

306946620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16059 (or 16054 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 306946620 is about 17519.8921229556. The cubic root of 306946620 is about 674.5605699569.

The spelling of 306946620 in words is "three hundred six million, nine hundred forty-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3852 4815 6420 9630 15937 19260 31874 47811 63748 79685 95622 143433 159370 191244 239055 286866 318740 478110 573732 717165 956220 1434330 1705259 2868660 3410518 5115777 6821036 8526295 10231554 15347331 17052590 20463108 25578885 30694662 34105180 51157770 61389324 76736655 102315540 153473310 306946620