Search a number
-
+
336771040 = 25537163349
BaseRepresentation
bin10100000100101…
…011011111100000
3212110200202000111
4110010223133200
51142203133130
653230101104
711226335524
oct2404533740
9773622014
10336771040
1116310a081
129494a794
1354a03a08
1432a25d84
151e87402a
hex1412b7e0

336771040 has 96 divisors (see below), whose sum is σ = 824493600. Its totient is φ = 129890304.

The previous prime is 336771023. The next prime is 336771047. The reversal of 336771040 is 40177633.

It is a super-2 number, since 2×3367710402 = 226829466765363200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 336770993 and 336771011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336771047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 964786 + ... + 965134.

It is an arithmetic number, because the mean of its divisors is an integer number (8588475).

Almost surely, 2336771040 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 336771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412246800).

336771040 is an abundant number, since it is smaller than the sum of its proper divisors (487722560).

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

336771040 is a wasteful number, since it uses less digits than its factorization.

336771040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 336771040 is about 18351.3225681421. The cubic root of 336771040 is about 695.7366996296.

The spelling of 336771040 in words is "three hundred thirty-six million, seven hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 163 185 296 326 349 370 592 652 698 740 815 1184 1304 1396 1480 1630 1745 2608 2792 2960 3260 3490 5216 5584 5920 6031 6520 6980 11168 12062 12913 13040 13960 24124 25826 26080 27920 30155 48248 51652 55840 56887 60310 64565 96496 103304 113774 120620 129130 192992 206608 227548 241240 258260 284435 413216 455096 482480 516520 568870 910192 964960 1033040 1137740 1820384 2066080 2104819 2275480 4209638 4550960 8419276 9101920 10524095 16838552 21048190 33677104 42096380 67354208 84192760 168385520 336771040