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336147240 = 23351113191031
BaseRepresentation
bin10100000010010…
…011001100101000
3212102112001022210
4110002103030220
51142023202430
653204445120
711221130052
oct2402231450
9772461283
10336147240
11162823440
12946a97a0
1354845ac0
14329028d2
151e79e2b0
hex14093328

336147240 has 256 divisors, whose sum is σ = 1248307200. Its totient is φ = 71193600.

The previous prime is 336147193. The next prime is 336147247. The reversal of 336147240 is 42741633.

It is a super-2 number, since 2×3361472402 = 225989933919235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 336147198 and 336147207.

It is not an unprimeable number, because it can be changed into a prime (336147247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325525 + ... + 326555.

It is an arithmetic number, because the mean of its divisors is an integer number (4876200).

Almost surely, 2336147240 is an apocalyptic number.

336147240 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 336147240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624153600).

336147240 is an abundant number, since it is smaller than the sum of its proper divisors (912159960).

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

336147240 is a wasteful number, since it uses less digits than its factorization.

336147240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 336147240 is about 18334.3186401895. The cubic root of 336147240 is about 695.3068637830.

Adding to 336147240 its reverse (42741633), we get a palindrome (378888873).

The spelling of 336147240 in words is "three hundred thirty-six million, one hundred forty-seven thousand, two hundred forty".