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340011424 = 25176171013
BaseRepresentation
bin10100010001000…
…010100110100000
3212200210100222201
4110101002212200
51144020331144
653423342544
711266022644
oct2421024640
9780710881
10340011424
11164a22685
1295a51a54
13555998bc
143322ac24
151ecb41d4
hex144429a0

340011424 has 48 divisors (see below), whose sum is σ = 710623368. Its totient is φ = 159588352.

The previous prime is 340011421. The next prime is 340011431. The reversal of 340011424 is 424110043.

It can be written as a sum of positive squares in 4 ways, for example, as 123921424 + 216090000 = 11132^2 + 14700^2 .

It is not an unprimeable number, because it can be changed into a prime (340011421) 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, 335142 + ... + 336154.

Almost surely, 2340011424 is an apocalyptic number.

340011424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355311684).

340011424 is an abundant number, since it is smaller than the sum of its proper divisors (370611944).

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

340011424 is a wasteful number, since it uses less digits than its factorization.

340011424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 340011424 is about 18439.3986886775. The cubic root of 340011424 is about 697.9610216792.

Adding to 340011424 its reverse (424110043), we get a palindrome (764121467).

The spelling of 340011424 in words is "three hundred forty million, eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 617 1013 1234 2026 2468 4052 4936 8104 9872 10489 16208 17221 19744 20978 32416 34442 41956 68884 83912 137768 167824 275536 335648 551072 625021 1250042 2500084 5000168 10000336 10625357 20000672 21250714 42501428 85002856 170005712 340011424