Search a number
-
+
336016520 = 23573191289
BaseRepresentation
bin10100000001110…
…011010010001000
3212102021102000022
4110001303102020
51142010012040
653202000012
711220044000
oct2401632210
9772242008
10336016520
11162744204
1294646008
13547cb458
14328ab000
151e7756b5
hex14073488

336016520 has 128 divisors (see below), whose sum is σ = 928800000. Its totient is φ = 109057536.

The previous prime is 336016507. The next prime is 336016547. The reversal of 336016520 is 25610633.

It is a super-2 number, since 2×3360165202 = 225814203425820800, which contains 22 as substring.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 336016520.

It is a congruent number.

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, 260036 + ... + 261324.

It is an arithmetic number, because the mean of its divisors is an integer number (7256250).

Almost surely, 2336016520 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 336016520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464400000).

336016520 is an abundant number, since it is smaller than the sum of its proper divisors (592783480).

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

336016520 is a wasteful number, since it uses less digits than its factorization.

336016520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 336016520 is about 18330.7533942280. The cubic root of 336016520 is about 695.2167224335.

The spelling of 336016520 in words is "three hundred thirty-six million, sixteen thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 343 380 392 490 532 665 686 760 931 980 1064 1289 1330 1372 1715 1862 1960 2578 2660 2744 3430 3724 4655 5156 5320 6445 6517 6860 7448 9023 9310 10312 12890 13034 13720 18046 18620 24491 25780 26068 32585 36092 37240 45115 48982 51560 52136 63161 65170 72184 90230 97964 122455 126322 130340 171437 180460 195928 244910 252644 260680 315805 342874 360920 442127 489820 505288 631610 685748 857185 884254 979640 1200059 1263220 1371496 1714370 1768508 2210635 2400118 2526440 3428740 3537016 4421270 4800236 6000295 6857480 8400413 8842540 9600472 12000590 16800826 17685080 24001180 33601652 42002065 48002360 67203304 84004130 168008260 336016520