Search a number
-
+
210034296 = 23341911697
BaseRepresentation
bin11001000010011…
…01111001111000
3112122012211220000
430201031321320
5412232044141
632501433000
75130155613
oct1441157170
9478184800
10210034296
11a861696a
125a40b760
133468b664
141dc7517a
151368c5b6
hexc84de78

210034296 has 80 divisors (see below), whose sum is σ = 591719040. Its totient is φ = 69603840.

The previous prime is 210034273. The next prime is 210034301. The reversal of 210034296 is 692430012.

210034296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2100342962 = 88228810992431232, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 122920 + ... + 124616.

It is an arithmetic number, because the mean of its divisors is an integer number (7396488).

Almost surely, 2210034296 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 210034296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295859520).

210034296 is an abundant number, since it is smaller than the sum of its proper divisors (381684744).

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

210034296 is a wasteful number, since it uses less digits than its factorization.

210034296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 210034296 is about 14492.5600223011. The cubic root of 210034296 is about 594.4245510939.

The spelling of 210034296 in words is "two hundred ten million, thirty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 191 216 324 382 573 648 764 1146 1528 1697 1719 2292 3394 3438 4584 5091 5157 6788 6876 10182 10314 13576 13752 15273 15471 20364 20628 30546 30942 40728 41256 45819 61092 61884 91638 122184 123768 137457 183276 274914 324127 366552 549828 648254 972381 1099656 1296508 1944762 2593016 2917143 3889524 5834286 7779048 8751429 11668572 17502858 23337144 26254287 35005716 52508574 70011432 105017148 210034296