Search a number
-
+
334628880 = 243531411097
BaseRepresentation
bin10011111100100…
…000100000010000
3212022122220112020
4103330200200100
51141131111010
653112131440
711202204255
oct2374404020
9768586466
10334628880
111619866a3
1294096b80
1354433971
143262942c
151e59e470
hex13f20810

334628880 has 160 divisors (see below), whose sum is σ = 1097929728. Its totient is φ = 84172800.

The previous prime is 334628873. The next prime is 334628897. The reversal of 334628880 is 88826433.

It is a super-2 number, since 2×3346288802 = 223952974660108800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 304492 + ... + 305588.

Almost surely, 2334628880 is an apocalyptic number.

334628880 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 334628880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548964864).

334628880 is an abundant number, since it is smaller than the sum of its proper divisors (763300848).

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

334628880 is a wasteful number, since it uses less digits than its factorization.

334628880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 334628880 is about 18292.8641825166. The cubic root of 334628880 is about 694.2583949787.

The spelling of 334628880 in words is "three hundred thirty-four million, six hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 41 48 60 62 80 82 93 120 123 124 155 164 186 205 240 246 248 310 328 372 410 465 492 496 615 620 656 744 820 930 984 1097 1230 1240 1271 1488 1640 1860 1968 2194 2460 2480 2542 3280 3291 3720 3813 4388 4920 5084 5485 6355 6582 7440 7626 8776 9840 10168 10970 12710 13164 15252 16455 17552 19065 20336 21940 25420 26328 30504 32910 34007 38130 43880 44977 50840 52656 61008 65820 68014 76260 87760 89954 101680 102021 131640 134931 136028 152520 170035 179908 204042 224885 263280 269862 272056 305040 340070 359816 408084 449770 510105 539724 544112 674655 680140 719632 816168 899540 1020210 1079448 1349310 1360280 1394287 1632336 1799080 2040420 2158896 2698620 2720560 2788574 3598160 4080840 4182861 5397240 5577148 6971435 8161680 8365722 10794480 11154296 13942870 16731444 20914305 22308592 27885740 33462888 41828610 55771480 66925776 83657220 111542960 167314440 334628880