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342211232 = 25112312851
BaseRepresentation
bin10100011001011…
…011101010100000
3212211221010120002
4110121123222200
51200101224412
653542435132
711323514246
oct2431335240
9784833502
10342211232
11166195400
1296732aa8
1355b89c6c
1433640796
152009adc2
hex1465baa0

342211232 has 72 divisors (see below), whose sum is σ = 764701056. Its totient is φ = 150480000.

The previous prime is 342211231. The next prime is 342211249. The reversal of 342211232 is 232112243.

It is not an unprimeable number, because it can be changed into a prime (342211231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118607 + ... + 121457.

It is an arithmetic number, because the mean of its divisors is an integer number (10620848).

Almost surely, 2342211232 is an apocalyptic number.

342211232 is a gapful number since it is divisible by the number (32) 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 342211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382350528).

342211232 is an abundant number, since it is smaller than the sum of its proper divisors (422489824).

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

342211232 is a wasteful number, since it uses less digits than its factorization.

342211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2895 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 342211232 is about 18498.9521865429. The cubic root of 342211232 is about 699.4630112962.

Adding to 342211232 its reverse (232112243), we get a palindrome (574323475).

It can be divided in two parts, 34221 and 1232, that added together give a palindrome (35453).

The spelling of 342211232 in words is "three hundred forty-two million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 121 124 176 242 248 341 352 484 496 682 968 992 1364 1936 2728 2851 3751 3872 5456 5702 7502 10912 11404 15004 22808 30008 31361 45616 60016 62722 88381 91232 120032 125444 176762 250888 344971 353524 501776 689942 707048 972191 1003552 1379884 1414096 1944382 2759768 2828192 3888764 5519536 7777528 10694101 11039072 15555056 21388202 31110112 42776404 85552808 171105616 342211232