Search a number
-
+
612219328 = 26731672
BaseRepresentation
bin100100011111011…
…011100111000000
31120122222222000221
4210133123213000
52223212004303
6140425552424
721112531000
oct4437334700
91518888027
10612219328
11294644496
12151045714
1399ab6676
145b448000
1538b334bd
hex247db9c0

612219328 has 84 divisors (see below), whose sum is σ = 1425295600. Its totient is φ = 260808576.

The previous prime is 612219323. The next prime is 612219343. The reversal of 612219328 is 823912216.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

612219328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 612219293 and 612219302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612219323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3665901 + ... + 3666067.

Almost surely, 2612219328 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 612219328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712647800).

612219328 is an abundant number, since it is smaller than the sum of its proper divisors (813076272).

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

612219328 is an frugal number, since it uses more digits than its factorization.

612219328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 176 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 612219328 is about 24743.0662610761. The cubic root of 612219328 is about 849.1198862520.

The spelling of 612219328 in words is "six hundred twelve million, two hundred nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 167 196 224 334 343 392 448 668 686 784 1169 1336 1372 1568 2338 2672 2744 3136 4676 5344 5488 8183 9352 10688 10976 16366 18704 21952 27889 32732 37408 55778 57281 65464 74816 111556 114562 130928 195223 223112 229124 261856 390446 446224 458248 523712 780892 892448 916496 1366561 1561784 1784896 1832992 2733122 3123568 3665984 5466244 6247136 9565927 10932488 12494272 19131854 21864976 38263708 43729952 76527416 87459904 153054832 306109664 612219328