Search a number
-
+
34425006 = 23711269277
BaseRepresentation
bin1000001101010…
…0100010101110
32101202222020020
42003110202232
532303100011
63225503010
7565415310
oct203244256
971688206
1034425006
1118483020
12b641a66
137194135
1448017b0
153050006
hex20d48ae

34425006 has 64 divisors (see below), whose sum is σ = 86469120. Its totient is φ = 8876160.

The previous prime is 34424987. The next prime is 34425023. The reversal of 34425006 is 60052443.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124140 + ... + 124416.

It is an arithmetic number, because the mean of its divisors is an integer number (1351080).

Almost surely, 234425006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34425006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43234560).

34425006 is an abundant number, since it is smaller than the sum of its proper divisors (52044114).

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

34425006 is a wasteful number, since it uses less digits than its factorization.

34425006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 34425006 is about 5867.2826759924. The cubic root of 34425006 is about 325.3054516869.

Adding to 34425006 its reverse (60052443), we get a palindrome (94477449).

It can be divided in two parts, 3442 and 5006, that added together give a palindrome (8448).

The spelling of 34425006 in words is "thirty-four million, four hundred twenty-five thousand, six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 269 277 462 538 554 807 831 1614 1662 1883 1939 2959 3047 3766 3878 5649 5817 5918 6094 8877 9141 11298 11634 17754 18282 20713 21329 41426 42658 62139 63987 74513 124278 127974 149026 223539 447078 521591 819643 1043182 1564773 1639286 2458929 3129546 4917858 5737501 11475002 17212503 34425006