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334880 = 25571323
BaseRepresentation
bin1010001110000100000
3122000100222
41101300200
541204010
611102212
72563220
oct1216040
9560328
10334880
11209667
12141968
13b9570
148a080
1569355
hex51c20

334880 has 96 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 101376.

The previous prime is 334877. The next prime is 334889. The reversal of 334880 is 88433.

It is a super-2 number, since 2×3348802 = 224289228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14549 + ... + 14571.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2334880 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 334880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032).

334880 is an abundant number, since it is smaller than the sum of its proper divisors (681184).

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

334880 is a wasteful number, since it uses less digits than its factorization.

334880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 334880 is about 578.6881716434. The cubic root of 334880 is about 69.4432018741.

334880 divided by its sum of digits (26) gives a triangular number (12880 = T160).

It can be divided in two parts, 33 and 4880, that added together give a cube (4913 = 173).

The spelling of 334880 in words is "three hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 23 26 28 32 35 40 46 52 56 65 70 80 91 92 104 112 115 130 140 160 161 182 184 208 224 230 260 280 299 322 364 368 416 455 460 520 560 598 644 728 736 805 910 920 1040 1120 1196 1288 1456 1495 1610 1820 1840 2080 2093 2392 2576 2912 2990 3220 3640 3680 4186 4784 5152 5980 6440 7280 8372 9568 10465 11960 12880 14560 16744 20930 23920 25760 33488 41860 47840 66976 83720 167440 334880