Search a number
-
+
341306880 = 2935192339
BaseRepresentation
bin10100010101111…
…110111000000000
3212210020012000120
4110111332320000
51144333310010
653511220240
711313026535
oct2425767000
9783205016
10341306880
11165727a02
1296377680
1355931445
1433486d8c
151ee6ce70
hex1457ee00

341306880 has 160 divisors (see below), whose sum is σ = 1149033600. Its totient is φ = 86188032.

The previous prime is 341306863. The next prime is 341306881. The reversal of 341306880 is 88603143.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341306881) 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, 144751 + ... + 147089.

It is an arithmetic number, because the mean of its divisors is an integer number (7181460).

Almost surely, 2341306880 is an apocalyptic number.

341306880 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 341306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574516800).

341306880 is an abundant number, since it is smaller than the sum of its proper divisors (807726720).

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

341306880 is a wasteful number, since it uses less digits than its factorization.

341306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 341306880 is about 18474.4926858629. The cubic root of 341306880 is about 698.8463173264.

The spelling of 341306880 in words is "three hundred forty-one million, three hundred six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 512 570 608 640 760 768 912 960 1140 1216 1280 1520 1536 1824 1920 2280 2339 2432 2560 3040 3648 3840 4560 4678 4864 6080 7017 7296 7680 9120 9356 9728 11695 12160 14034 14592 18240 18712 23390 24320 28068 29184 35085 36480 37424 44441 46780 48640 56136 70170 72960 74848 88882 93560 112272 133323 140340 145920 149696 177764 187120 222205 224544 266646 280680 299392 355528 374240 444410 449088 533292 561360 598784 666615 711056 748480 888820 898176 1066584 1122720 1197568 1333230 1422112 1496960 1777640 1796352 2133168 2245440 2666460 2844224 2993920 3555280 3592704 4266336 4490880 5332920 5688448 5987840 7110560 8532672 8981760 10665840 11376896 14221120 17065344 17963520 21331680 22753792 28442240 34130688 42663360 56884480 68261376 85326720 113768960 170653440 341306880