Search a number
-
+
3350536 = 237194767
BaseRepresentation
bin1100110010000000001000
320022020001221
430302000020
51324204121
6155451424
740323220
oct14620010
96266057
103350536
111989342
121156b74
13904087
14633080
15462b41
hex332008

3350536 has 64 divisors (see below), whose sum is σ = 7833600. Its totient is φ = 1311552.

The previous prime is 3350531. The next prime is 3350549. The reversal of 3350536 is 6350533.

It is a super-2 number, since 2×33505362 = 22452182974592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3350536.

It is not an unprimeable number, because it can be changed into a prime (3350531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49975 + ... + 50041.

It is an arithmetic number, because the mean of its divisors is an integer number (122400).

Almost surely, 23350536 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 3350536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916800).

3350536 is an abundant number, since it is smaller than the sum of its proper divisors (4483064).

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

3350536 is a wasteful number, since it uses less digits than its factorization.

3350536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 25.

The square root of 3350536 is about 1830.4469399576. The cubic root of 3350536 is about 149.6366911252.

It can be divided in two parts, 3350 and 536, that multiplied together give a square (1795600 = 13402).

The spelling of 3350536 in words is "three million, three hundred fifty thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 19 28 38 47 56 67 76 94 133 134 152 188 266 268 329 376 469 532 536 658 893 938 1064 1273 1316 1786 1876 2546 2632 3149 3572 3752 5092 6251 6298 7144 8911 10184 12502 12596 17822 22043 25004 25192 35644 44086 50008 59831 71288 88172 119662 176344 239324 418817 478648 837634 1675268 3350536