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336230144 = 2859113197
BaseRepresentation
bin10100000010100…
…111011100000000
3212102200021001022
4110002213130000
51142033331034
653210325012
711221623545
oct2402473400
9772607038
10336230144
1116287a758
1294729768
1354874763
1432924bcc
151e7b8b2e
hex140a7700

336230144 has 72 divisors (see below), whose sum is σ = 692057520. Its totient is φ = 162971648.

The previous prime is 336230143. The next prime is 336230149. The reversal of 336230144 is 441032633.

It is a happy number.

It is a super-2 number, since 2×3362301442 = 226101419468521472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336230143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1706654 + ... + 1706850.

It is an arithmetic number, because the mean of its divisors is an integer number (9611910).

Almost surely, 2336230144 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 336230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346028760).

336230144 is an abundant number, since it is smaller than the sum of its proper divisors (355827376).

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

336230144 is a wasteful number, since it uses less digits than its factorization.

336230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 336230144 is about 18336.5793974776. The cubic root of 336230144 is about 695.3640202659.

Adding to 336230144 its reverse (441032633), we get a palindrome (777262777).

The spelling of 336230144 in words is "three hundred thirty-six million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 59 64 113 118 128 197 226 236 256 394 452 472 788 904 944 1576 1808 1888 3152 3616 3776 6304 6667 7232 7552 11623 12608 13334 14464 15104 22261 23246 25216 26668 28928 44522 46492 50432 53336 89044 92984 106672 178088 185968 213344 356176 371936 426688 712352 743872 853376 1313399 1424704 1487744 1706752 2626798 2849408 2975488 5253596 5698816 10507192 21014384 42028768 84057536 168115072 336230144