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345410142 = 237114317387
BaseRepresentation
bin10100100101101…
…000101001011110
3220001221122122020
4110211220221132
51201411111032
654135201010
711362636440
oct2445505136
9801848566
10345410142
11167a7a830
1297816166
1356739ccc
1433c34490
15204cdb2c
hex14968a5e

345410142 has 64 divisors (see below), whose sum is σ = 881362944. Its totient is φ = 87625440.

The previous prime is 345410141. The next prime is 345410173. The reversal of 345410142 is 241014543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345410141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11173 + ... + 28559.

It is an arithmetic number, because the mean of its divisors is an integer number (13771296).

Almost surely, 2345410142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345410142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440681472).

345410142 is an abundant number, since it is smaller than the sum of its proper divisors (535952802).

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

345410142 is a wasteful number, since it uses less digits than its factorization.

345410142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17453.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 345410142 is about 18585.2129931298. The cubic root of 345410142 is about 701.6357271134.

Adding to 345410142 its reverse (241014543), we get a palindrome (586424685).

The spelling of 345410142 in words is "three hundred forty-five million, four hundred ten thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 43 66 77 86 129 154 231 258 301 462 473 602 903 946 1419 1806 2838 3311 6622 9933 17387 19866 34774 52161 104322 121709 191257 243418 365127 382514 573771 730254 747641 1147542 1338799 1495282 2242923 2677598 4016397 4485846 5233487 8032794 8224051 10466974 15700461 16448102 24672153 31400922 49344306 57568357 115136714 172705071 345410142