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340540416 = 21033109113
BaseRepresentation
bin10100010011000…
…011110000000000
3212201210020122000
4110103003300000
51144134243131
653442544000
711303355126
oct2423036000
9781706560
10340540416
11165254067
1296068000
1355723608
1433327916
151ed6ace6
hex144c3c00

340540416 has 176 divisors, whose sum is σ = 1026775200. Its totient is φ = 111476736.

The previous prime is 340540399. The next prime is 340540463. The reversal of 340540416 is 614045043.

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

It is a self number, because there is not a number n which added to its sum of digits gives 340540416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3013576 + ... + 3013688.

It is an arithmetic number, because the mean of its divisors is an integer number (5833950).

Almost surely, 2340540416 is an apocalyptic number.

340540416 is a gapful number since it is divisible by the number (36) 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 340540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513387600).

340540416 is an abundant number, since it is smaller than the sum of its proper divisors (686234784).

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

340540416 is a wasteful number, since it uses less digits than its factorization.

340540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 340540416 is about 18453.7371824788. The cubic root of 340540416 is about 698.3227982353.

Adding to 340540416 its reverse (614045043), we get a palindrome (954585459).

The spelling of 340540416 in words is "three hundred forty million, five hundred forty thousand, four hundred sixteen".