Search a number
-
+
344625030 = 2355373833
BaseRepresentation
bin10100100010101…
…000111110000110
3220000110202200000
4110202220332012
51201211000110
654110302130
711353156461
oct2442507606
9800422600
10344625030
11167593982
12974b7946
1356523849
1433aac2d8
15203c61c0
hex148a8f86

344625030 has 96 divisors (see below), whose sum is σ = 954573984. Its totient is φ = 89392896.

The previous prime is 344624989. The next prime is 344625053. The reversal of 344625030 is 30526443.

344625030 is a `hidden beast` number, since 3 + 4 + 4 + 625 + 0 + 30 = 666.

It is a super-2 number, since 2×3446250302 = 237532822605001800, which contains 22 as substring.

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 = 344624985 and 344625003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87994 + ... + 91826.

It is an arithmetic number, because the mean of its divisors is an integer number (9943479).

Almost surely, 2344625030 is an apocalyptic number.

344625030 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 344625030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477286992).

344625030 is an abundant number, since it is smaller than the sum of its proper divisors (609948954).

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

344625030 is a wasteful number, since it uses less digits than its factorization.

344625030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 344625030 is about 18564.0790237491. The cubic root of 344625030 is about 701.1037213834.

The spelling of 344625030 in words is "three hundred forty-four million, six hundred twenty-five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 243 270 333 370 405 486 555 666 810 999 1110 1215 1665 1998 2430 2997 3330 3833 4995 5994 7666 8991 9990 11499 14985 17982 19165 22998 29970 34497 38330 44955 57495 68994 89910 103491 114990 141821 172485 206982 283642 310473 344970 425463 517455 620946 709105 850926 931419 1034910 1276389 1418210 1552365 1862838 2127315 2552778 3104730 3829167 4254630 4657095 6381945 7658334 9314190 11487501 12763890 19145835 22975002 34462503 38291670 57437505 68925006 114875010 172312515 344625030