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336430336 = 2811210861
BaseRepresentation
bin10100000011011…
…000010100000000
3212110001102122211
4110003120110000
51142111232321
653214511504
711223416314
oct2403302400
9773042584
10336430336
111629a7100
1294805594
1354914908
1432977b44
151e8080e1
hex140d8500

336430336 has 54 divisors (see below), whose sum is σ = 738214106. Its totient is φ = 152908800.

The previous prime is 336430327. The next prime is 336430343. The reversal of 336430336 is 633034633.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 273703936 + 62726400 = 16544^2 + 7920^2 .

It is a super-2 number, since 2×3364303362 = 226370741962145792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 336430298 and 336430307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25546 + ... + 36406.

Almost surely, 2336430336 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 336430336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369107053).

336430336 is an abundant number, since it is smaller than the sum of its proper divisors (401783770).

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

336430336 is a wasteful number, since it uses less digits than its factorization.

336430336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10899 (or 10874 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 31.

The square root of 336430336 is about 18342.0374004635. The cubic root of 336430336 is about 695.5019998588.

Adding to 336430336 its reverse (633034633), we get a palindrome (969464969).

The spelling of 336430336 in words is "three hundred thirty-six million, four hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 7744 10861 15488 21722 30976 43444 86888 119471 173776 238942 347552 477884 695104 955768 1314181 1390208 1911536 2628362 2780416 3823072 5256724 7646144 10513448 15292288 21026896 30584576 42053792 84107584 168215168 336430336