Search a number
-
+
341120416 = 2571329011
BaseRepresentation
bin10100010101010…
…001010110100000
3212202212201020111
4110111101112200
51144311323131
653503221104
711311322110
oct2425212640
9782781214
10341120416
1116560a8aa
12962a7794
1355897600
1433439040
151ee32ab1
hex145515a0

341120416 has 72 divisors (see below), whose sum is σ = 831194784. Its totient is φ = 134933760.

The previous prime is 341120411. The next prime is 341120441. The reversal of 341120416 is 614021143.

It is not an unprimeable number, because it can be changed into a prime (341120411) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 33351 + ... + 42361.

It is an arithmetic number, because the mean of its divisors is an integer number (11544372).

Almost surely, 2341120416 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 341120416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415597392).

341120416 is an abundant number, since it is smaller than the sum of its proper divisors (490074368).

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

341120416 is a wasteful number, since it uses less digits than its factorization.

341120416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9054 (or 9033 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 341120416 is about 18469.4454708310. The cubic root of 341120416 is about 698.7190287336.

Adding to 341120416 its reverse (614021143), we get a palindrome (955141559).

The spelling of 341120416 in words is "three hundred forty-one million, one hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 169 182 208 224 338 364 416 676 728 1183 1352 1456 2366 2704 2912 4732 5408 9011 9464 18022 18928 36044 37856 63077 72088 117143 126154 144176 234286 252308 288352 468572 504616 820001 937144 1009232 1522859 1640002 1874288 2018464 3045718 3280004 3748576 6091436 6560008 10660013 12182872 13120016 21320026 24365744 26240032 42640052 48731488 85280104 170560208 341120416