Search a number
-
+
345214452 = 2231122310337
BaseRepresentation
bin10100100100111…
…000110111110100
3220001120201012110
4110210320313310
51201333330302
654131051020
711361163062
oct2444706764
9801521173
10345214452
11167956800
1297740a70
135669bc0b
1433bc3032
1520490b6c
hex14938df4

345214452 has 72 divisors (see below), whose sum is σ = 923969088. Its totient is φ = 100052480.

The previous prime is 345214451. The next prime is 345214459. The reversal of 345214452 is 254412543.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345214451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28228 + ... + 38564.

It is an arithmetic number, because the mean of its divisors is an integer number (12832904).

Almost surely, 2345214452 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 345214452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461984544).

345214452 is an abundant number, since it is smaller than the sum of its proper divisors (578754636).

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

345214452 is a wasteful number, since it uses less digits than its factorization.

345214452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10389 (or 10376 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 345214452 is about 18579.9475779670. The cubic root of 345214452 is about 701.5031996084.

Adding to 345214452 its reverse (254412543), we get a palindrome (599626995).

The spelling of 345214452 in words is "three hundred forty-five million, two hundred fourteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 121 132 138 242 253 276 363 484 506 726 759 1012 1452 1518 2783 3036 5566 8349 10337 11132 16698 20674 31011 33396 41348 62022 113707 124044 227414 237751 341121 454828 475502 682242 713253 951004 1250777 1364484 1426506 2501554 2615261 2853012 3752331 5003108 5230522 7504662 7845783 10461044 15009324 15691566 28767871 31383132 57535742 86303613 115071484 172607226 345214452