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341136480 = 25352233187
BaseRepresentation
bin10100010101010…
…101010001100000
3212202220112021110
4110111111101200
51144312331410
653503423320
711311416666
oct2425252140
9782815243
10341136480
11165620983
12962b4b40
13558a1a09
1433440c36
151ee37720
hex14555460

341136480 has 96 divisors (see below), whose sum is σ = 1079737344. Its totient is φ = 90533376.

The previous prime is 341136479. The next prime is 341136517. The reversal of 341136480 is 84631143.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105447 + ... + 108633.

It is an arithmetic number, because the mean of its divisors is an integer number (11247264).

Almost surely, 2341136480 is an apocalyptic number.

341136480 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 341136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539868672).

341136480 is an abundant number, since it is smaller than the sum of its proper divisors (738600864).

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

341136480 is a wasteful number, since it uses less digits than its factorization.

341136480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 341136480 is about 18469.8803461203. The cubic root of 341136480 is about 698.7299965578.

The spelling of 341136480 in words is "three hundred forty-one million, one hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 223 240 446 480 669 892 1115 1338 1784 2230 2676 3187 3345 3568 4460 5352 6374 6690 7136 8920 9561 10704 12748 13380 15935 17840 19122 21408 25496 26760 31870 35680 38244 47805 50992 53520 63740 76488 95610 101984 107040 127480 152976 191220 254960 305952 382440 509920 710701 764880 1421402 1529760 2132103 2842804 3553505 4264206 5685608 7107010 8528412 10660515 11371216 14214020 17056824 21321030 22742432 28428040 34113648 42642060 56856080 68227296 85284120 113712160 170568240 341136480