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341121408 = 2734373283
BaseRepresentation
bin10100010101010…
…001100110000000
3212202212202121020
4110111101212000
51144311341113
653503225440
711311325025
oct2425214600
9782782536
10341121408
11165610621
12962a8280
1355897bb4
143343954c
151ee33023
hex14551980

341121408 has 128 divisors (see below), whose sum is σ = 943198080. Its totient is φ = 109154304.

The previous prime is 341121401. The next prime is 341121413. The reversal of 341121408 is 804121143.

It is a tau number, because it is divible by the number of its divisors (128).

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 (341121401) 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, 1205235 + ... + 1205517.

It is an arithmetic number, because the mean of its divisors is an integer number (7368735).

Almost surely, 2341121408 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 341121408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471599040).

341121408 is an abundant number, since it is smaller than the sum of its proper divisors (602076672).

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

341121408 is a wasteful number, since it uses less digits than its factorization.

341121408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 404 counting only the distinct ones).

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

The square root of 341121408 is about 18469.4723259762. The cubic root of 341121408 is about 698.7197060395.

The spelling of 341121408 in words is "three hundred forty-one million, one hundred twenty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 73 86 96 128 129 146 172 192 219 258 283 292 344 384 438 516 566 584 688 849 876 1032 1132 1168 1376 1698 1752 2064 2264 2336 2752 3139 3396 3504 4128 4528 4672 5504 6278 6792 7008 8256 9056 9344 9417 12169 12556 13584 14016 16512 18112 18834 20659 24338 25112 27168 28032 36224 36507 37668 41318 48676 50224 54336 61977 73014 75336 82636 97352 100448 108672 123954 146028 150672 165272 194704 200896 247908 292056 301344 330544 389408 401792 495816 584112 602688 661088 778816 888337 991632 1168224 1205376 1322176 1557632 1776674 1983264 2336448 2644352 2665011 3553348 3966528 4672896 5330022 7106696 7933056 10660044 14213392 21320088 28426784 42640176 56853568 85280352 113707136 170560704 341121408