Search a number
-
+
341051328 = 2632738111
BaseRepresentation
bin10100010101000…
…000011111000000
3212202202012110200
4110111000133000
51144302120303
653501525200
711310613512
oct2425003700
9782665420
10341051328
11165572a02
1296273800
1355872027
143341bbb2
151ee1c3a3
hex145407c0

341051328 has 84 divisors (see below), whose sum is σ = 991075488. Its totient is φ = 112112640.

The previous prime is 341051323. The next prime is 341051341. The reversal of 341051328 is 823150143.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341051323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37993 + ... + 46103.

Almost surely, 2341051328 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 341051328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495537744).

341051328 is an abundant number, since it is smaller than the sum of its proper divisors (650024160).

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

341051328 is a wasteful number, since it uses less digits than its factorization.

341051328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8202 (or 8189 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 341051328 is about 18467.5750438437. The cubic root of 341051328 is about 698.6718544248.

The spelling of 341051328 in words is "three hundred forty-one million, fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 144 146 192 219 288 292 438 576 584 657 876 1168 1314 1752 2336 2628 3504 4672 5256 7008 8111 10512 14016 16222 21024 24333 32444 42048 48666 64888 72999 97332 129776 145998 194664 259552 291996 389328 519104 583992 592103 778656 1167984 1184206 1557312 1776309 2335968 2368412 3552618 4671936 4736824 5328927 7105236 9473648 10657854 14210472 18947296 21315708 28420944 37894592 42631416 56841888 85262832 113683776 170525664 341051328