Search a number
-
+
345531150 = 23352192709
BaseRepresentation
bin10100100110000…
…110001100001110
3220002011210122000
4110212012030032
51201423444100
654141533130
711363652306
oct2446061416
9802153560
10345531150
11168052738
12978741a6
1356780103
1433c66606
1520504900
hex1498630e

345531150 has 144 divisors (see below), whose sum is σ = 1006297200. Its totient is φ = 87168960.

The previous prime is 345531107. The next prime is 345531157. The reversal of 345531150 is 51135543.

345531150 is a `hidden beast` number, since 345 + 5 + 311 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345531157) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 486996 + ... + 487704.

It is an arithmetic number, because the mean of its divisors is an integer number (6988175).

Almost surely, 2345531150 is an apocalyptic number.

345531150 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 345531150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503148600).

345531150 is an abundant number, since it is smaller than the sum of its proper divisors (660766050).

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

345531150 is a wasteful number, since it uses less digits than its factorization.

345531150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 345531150 is about 18588.4681993972. The cubic root of 345531150 is about 701.7176525434.

Adding to 345531150 its reverse (51135543), we get a palindrome (396666693).

The spelling of 345531150 in words is "three hundred forty-five million, five hundred thirty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 90 95 114 135 150 171 190 225 270 285 342 361 450 475 513 570 675 709 722 855 950 1026 1083 1350 1418 1425 1710 1805 2127 2166 2565 2850 3249 3545 3610 4254 4275 5130 5415 6381 6498 7090 8550 9025 9747 10635 10830 12762 12825 13471 16245 17725 18050 19143 19494 21270 25650 26942 27075 31905 32490 35450 38286 40413 48735 53175 54150 63810 67355 80826 81225 95715 97470 106350 121239 134710 159525 162450 191430 202065 242478 243675 255949 319050 336775 363717 404130 478575 487350 511898 606195 673550 727434 767847 957150 1010325 1212390 1279745 1535694 1818585 2020650 2303541 2559490 3030975 3637170 3839235 4607082 6061950 6398725 6910623 7678470 9092925 11517705 12797450 13821246 18185850 19196175 23035410 34553115 38392350 57588525 69106230 115177050 172765575 345531150