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341088 = 253111719
BaseRepresentation
bin1010011010001100000
3122022212220
41103101200
541403323
611151040
72620266
oct1232140
9568786
10341088
112132a0
12145480
13bc337
148c436
156b0e3
hex53460

341088 has 96 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 92160.

The previous prime is 341087. The next prime is 341123. The reversal of 341088 is 880143.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17943 + ... + 17961.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2341088 is an apocalyptic number.

341088 is a gapful number since it is divisible by the number (38) 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 341088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

341088 is an abundant number, since it is smaller than the sum of its proper divisors (747552).

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

341088 is a wasteful number, since it uses less digits than its factorization.

341088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 341088 is about 584.0273966177. The cubic root of 341088 is about 69.8696895402.

The spelling of 341088 in words is "three hundred forty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 19 22 24 32 33 34 38 44 48 51 57 66 68 76 88 96 102 114 132 136 152 176 187 204 209 228 264 272 304 323 352 374 408 418 456 528 544 561 608 627 646 748 816 836 912 969 1056 1122 1254 1292 1496 1632 1672 1824 1938 2244 2508 2584 2992 3344 3553 3876 4488 5016 5168 5984 6688 7106 7752 8976 10032 10336 10659 14212 15504 17952 20064 21318 28424 31008 42636 56848 85272 113696 170544 341088