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340042752 = 2103372251
BaseRepresentation
bin10100010001001…
…010010000000000
3212200211221222000
4110101022100000
51144022332002
653424144000
711266213200
oct2421122000
9780757860
10340042752
11164a44175
1295a68000
13555aac3a
1433238400
151ecbd61c
hex1444a400

340042752 has 264 divisors, whose sum is σ = 1176124320. Its totient is φ = 96768000.

The previous prime is 340042727. The next prime is 340042771. The reversal of 340042752 is 257240043.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354627 + ... + 1354877.

Almost surely, 2340042752 is an apocalyptic number.

340042752 is a gapful number since it is divisible by the number (32) 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 340042752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588062160).

340042752 is an abundant number, since it is smaller than the sum of its proper divisors (836081568).

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

340042752 is a wasteful number, since it uses less digits than its factorization.

340042752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 340042752 is about 18440.2481545125. The cubic root of 340042752 is about 697.9824572839.

Adding to 340042752 its reverse (257240043), we get a palindrome (597282795).

The spelling of 340042752 in words is "three hundred forty million, forty-two thousand, seven hundred fifty-two".