Search a number
-
+
340410144 = 25328112619
BaseRepresentation
bin10100010010100…
…011111100100000
3212201112121221010
4110102203330200
51144121111034
653440100520
711302303254
oct2422437440
9781477833
10340410144
111651751a8
1296004740
13556a9229
14332d2264
151ed423e9
hex144a3f20

340410144 has 48 divisors (see below), whose sum is σ = 896827680. Its totient is φ = 113057280.

The previous prime is 340410113. The next prime is 340410157. The reversal of 340410144 is 441014043.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3404101442 = 231758132276201472, 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 340410144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20667 + ... + 33285.

It is an arithmetic number, because the mean of its divisors is an integer number (18683910).

Almost surely, 2340410144 is an apocalyptic number.

It is an amenable number.

340410144 is an abundant number, since it is smaller than the sum of its proper divisors (556417536).

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

340410144 is a wasteful number, since it uses less digits than its factorization.

340410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12913 (or 12905 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 340410144 is about 18450.2071533086. The cubic root of 340410144 is about 698.2337402693.

Adding to 340410144 its reverse (441014043), we get a palindrome (781424187).

The spelling of 340410144 in words is "three hundred forty million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 281 562 843 1124 1686 2248 3372 4496 6744 8992 12619 13488 25238 26976 37857 50476 75714 100952 151428 201904 302856 403808 605712 1211424 3545939 7091878 10637817 14183756 21275634 28367512 42551268 56735024 85102536 113470048 170205072 340410144