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306401340 = 22357729527
BaseRepresentation
bin10010010000110…
…101000000111100
3210100112210121210
4102100311000330
51111414320330
650223124420
710410240240
oct2220650074
9710483553
10306401340
11147a56953
1286743710
134b62c68b
142c99c420
151bd758b0
hex1243503c

306401340 has 48 divisors (see below), whose sum is σ = 980485632. Its totient is φ = 70034496.

The previous prime is 306401299. The next prime is 306401351. The reversal of 306401340 is 43104603.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 364344 + ... + 365183.

It is an arithmetic number, because the mean of its divisors is an integer number (20426784).

Almost surely, 2306401340 is an apocalyptic number.

306401340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

306401340 is an abundant number, since it is smaller than the sum of its proper divisors (674084292).

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

306401340 is a wasteful number, since it uses less digits than its factorization.

306401340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729546 (or 729544 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 306401340 is about 17504.3234659326. The cubic root of 306401340 is about 674.1608887226.

Adding to 306401340 its reverse (43104603), we get a palindrome (349505943).

The spelling of 306401340 in words is "three hundred six million, four hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 729527 1459054 2188581 2918108 3647635 4377162 5106689 7295270 8754324 10213378 10942905 14590540 15320067 20426756 21885810 25533445 30640134 43771620 51066890 61280268 76600335 102133780 153200670 306401340