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345435150 = 23521011512
BaseRepresentation
bin10100100101101…
…110110000001110
3220001222220221110
4110211232300032
51201412411100
654135512450
711363102364
oct2445566016
9801886843
10345435150
11167a975a5
1297828726
13567484c8
1433c3d634
15204d6250
hex1496ec0e

345435150 has 72 divisors (see below), whose sum is σ = 870928632. Its totient is φ = 90600000.

The previous prime is 345435149. The next prime is 345435157. The reversal of 345435150 is 51534543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345435157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2287575 + ... + 2287725.

It is an arithmetic number, because the mean of its divisors is an integer number (12096231).

Almost surely, 2345435150 is an apocalyptic number.

345435150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345435150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435464316).

345435150 is an abundant number, since it is smaller than the sum of its proper divisors (525493482).

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

345435150 is a wasteful number, since it uses less digits than its factorization.

345435150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 345435150 is about 18585.8857738877. The cubic root of 345435150 is about 701.6526597207.

Adding to 345435150 its reverse (51534543), we get a palindrome (396969693).

It can be divided in two parts, 34543 and 5150, that added together give a palindrome (39693).

The spelling of 345435150 in words is "three hundred forty-five million, four hundred thirty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 101 150 151 202 302 303 453 505 606 755 906 1010 1510 1515 2265 2525 3030 3775 4530 5050 7550 7575 11325 15150 15251 22650 22801 30502 45602 45753 68403 76255 91506 114005 136806 152510 228010 228765 342015 381275 457530 570025 684030 762550 1140050 1143825 1710075 2287650 2302901 3420150 4605802 6908703 11514505 13817406 23029010 34543515 57572525 69087030 115145050 172717575 345435150