Search a number
-
+
340383040 = 2654392423
BaseRepresentation
bin10100010010011…
…101010101000000
3212201111020202021
4110102131111000
51144114224130
653435331224
711302131244
oct2422352500
9781436667
10340383040
111651568a8
1295bb0b14
1355699aaa
14332c6424
151ed3937a
hex1449d540

340383040 has 56 divisors (see below), whose sum is σ = 812718720. Its totient is φ = 135787008.

The previous prime is 340383031. The next prime is 340383041. The reversal of 340383040 is 40383043.

It is a super-2 number, since 2×3403830402 = 231721227839283200, which contains 22 as substring.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 340382996 and 340383014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340383041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 139269 + ... + 141691.

Almost surely, 2340383040 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 340383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406359360).

340383040 is an abundant number, since it is smaller than the sum of its proper divisors (472335680).

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

340383040 is a wasteful number, since it uses less digits than its factorization.

340383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 340383040 is about 18449.4726211889. The cubic root of 340383040 is about 698.2152082818.

The spelling of 340383040 in words is "three hundred forty million, three hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 439 878 1756 2195 2423 3512 4390 4846 7024 8780 9692 12115 14048 17560 19384 24230 28096 35120 38768 48460 70240 77536 96920 140480 155072 193840 387680 775360 1063697 2127394 4254788 5318485 8509576 10636970 17019152 21273940 34038304 42547880 68076608 85095760 170191520 340383040