Search a number
-
+
345033432 = 2334709751
BaseRepresentation
bin10100100100001…
…100101011011000
3220001020111220000
4110210030223120
51201312032212
654123133000
711356510242
oct2444145330
9801214800
10345033432
111678427a7
1297674160
13566376c3
1433b77092
15204571dc
hex1490cad8

345033432 has 80 divisors (see below), whose sum is σ = 969064800. Its totient is φ = 114696000.

The previous prime is 345033431. The next prime is 345033461. The reversal of 345033432 is 234330543.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 345033396 and 345033405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345033431) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 459057 + ... + 459807.

It is an arithmetic number, because the mean of its divisors is an integer number (12113310).

Almost surely, 2345033432 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 345033432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484532400).

345033432 is an abundant number, since it is smaller than the sum of its proper divisors (624031368).

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

345033432 is a wasteful number, since it uses less digits than its factorization.

345033432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The square root of 345033432 is about 18575.0755583928. The cubic root of 345033432 is about 701.3805624951.

Adding to 345033432 its reverse (234330543), we get a palindrome (579363975).

The spelling of 345033432 in words is "three hundred forty-five million, thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 709 751 1418 1502 2127 2253 2836 3004 4254 4506 5672 6008 6381 6759 8508 9012 12762 13518 17016 18024 19143 20277 25524 27036 38286 40554 51048 54072 57429 60831 76572 81108 114858 121662 153144 162216 229716 243324 459432 486648 532459 1064918 1597377 2129836 3194754 4259672 4792131 6389508 9584262 12779016 14376393 19168524 28752786 38337048 43129179 57505572 86258358 115011144 172516716 345033432