Search a number
-
+
340020320 = 25510719861
BaseRepresentation
bin10100010001000…
…100110001100000
3212200210211012012
4110101010301200
51144021122240
653423452052
711266060613
oct2421046140
9780724165
10340020320
11164a29332
1295a57028
13555a0973
143323017a
151ecb6b65
hex14444c60

340020320 has 48 divisors (see below), whose sum is σ = 810846288. Its totient is φ = 134730240.

The previous prime is 340020319. The next prime is 340020323. The reversal of 340020320 is 23020043.

It is a super-2 number, since 2×3400203202 = 231227636025804800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340020295 and 340020304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340020323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7190 + ... + 27050.

It is an arithmetic number, because the mean of its divisors is an integer number (16892631).

Almost surely, 2340020320 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 340020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405423144).

340020320 is an abundant number, since it is smaller than the sum of its proper divisors (470825968).

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

340020320 is a wasteful number, since it uses less digits than its factorization.

340020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19983 (or 19975 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 340020320 is about 18439.6399097162. The cubic root of 340020320 is about 697.9671087366.

Adding to 340020320 its reverse (23020043), we get a palindrome (363040363).

The spelling of 340020320 in words is "three hundred forty million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 1070 1712 2140 3424 4280 8560 17120 19861 39722 79444 99305 158888 198610 317776 397220 635552 794440 1588880 2125127 3177760 4250254 8500508 10625635 17001016 21251270 34002032 42502540 68004064 85005080 170010160 340020320