Search a number
-
+
336267140 = 2251117471913
BaseRepresentation
bin10100000010110…
…000011110000100
3212102202010210112
4110002300132010
51142041022030
653211212152
711222136446
oct2402603604
9772663715
10336267140
111628a5530
1294747058
1354888551
1432934496
151e7c4a95
hex140b0784

336267140 has 96 divisors (see below), whose sum is σ = 833462784. Its totient is φ = 112578560.

The previous prime is 336267133. The next prime is 336267161. The reversal of 336267140 is 41762633.

It is a super-2 number, since 2×3362671402 = 226151178887559200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 336267097 and 336267106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174824 + ... + 176736.

It is an arithmetic number, because the mean of its divisors is an integer number (8681904).

Almost surely, 2336267140 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 336267140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416731392).

336267140 is an abundant number, since it is smaller than the sum of its proper divisors (497195644).

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

336267140 is a wasteful number, since it uses less digits than its factorization.

336267140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 336267140 is about 18337.5881729305. The cubic root of 336267140 is about 695.3895233767.

The spelling of 336267140 in words is "three hundred thirty-six million, two hundred sixty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 47 55 68 85 94 110 170 187 188 220 235 340 374 470 517 748 799 935 940 1034 1598 1870 1913 2068 2585 3196 3740 3826 3995 5170 7652 7990 8789 9565 10340 15980 17578 19130 21043 32521 35156 38260 42086 43945 65042 84172 87890 89911 105215 130084 162605 175780 179822 210430 325210 357731 359644 420860 449555 650420 715462 899110 989021 1430924 1528487 1788655 1798220 1978042 3056974 3577310 3956084 4945105 6113948 7154620 7642435 9890210 15284870 16813357 19780420 30569740 33626714 67253428 84066785 168133570 336267140