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340402500 = 223454412
BaseRepresentation
bin10100010010100…
…010000101000100
3212201112020110000
4110102202011010
51144120340000
653440001300
711302242054
oct2422420504
9781466400
10340402500
1116516a489
1296000230
13556a58c9
14332cd564
151ed40000
hex144a2144

340402500 has 225 divisors, whose sum is σ = 1139776561. Its totient is φ = 88560000.

The previous prime is 340402487. The next prime is 340402501. The reversal of 340402500 is 5204043.

It is a happy number.

The square root of 340402500 is 18450.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 339075396 + 1327104 = 18414^2 + 1152^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (340402501) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 8302480 + ... + 8302520.

Almost surely, 2340402500 is an apocalyptic number.

340402500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

340402500 is the 18450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340402500

340402500 is an abundant number, since it is smaller than the sum of its proper divisors (799374061).

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

340402500 is an equidigital number, since it uses as much as digits as its factorization.

340402500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The cubic root of 340402500 is about 698.2285138890.

Adding to 340402500 its reverse (5204043), we get a palindrome (345606543).

The spelling of 340402500 in words is "three hundred forty million, four hundred two thousand, five hundred".