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340036920 = 233351973227
BaseRepresentation
bin10100010001001…
…000110100111000
3212200211122222000
4110101020310320
51144022140140
653424101000
711266160166
oct2421106470
9780748860
10340036920
11164a3a853
1295a64760
13555a83a2
1433236236
151ecbba30
hex14448d38

340036920 has 256 divisors, whose sum is σ = 1214784000. Its totient is φ = 84354048.

The previous prime is 340036909. The next prime is 340036933. The reversal of 340036920 is 29630043.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1497847 + ... + 1498073.

It is an arithmetic number, because the mean of its divisors is an integer number (4745250).

Almost surely, 2340036920 is an apocalyptic number.

340036920 is a gapful number since it is divisible by the number (30) 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 340036920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607392000).

340036920 is an abundant number, since it is smaller than the sum of its proper divisors (874747080).

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

340036920 is a wasteful number, since it uses less digits than its factorization.

340036920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 340036920 is about 18440.0900214722. The cubic root of 340036920 is about 697.9784669455.

Adding to 340036920 its reverse (29630043), we get a palindrome (369666963).

The spelling of 340036920 in words is "three hundred forty million, thirty-six thousand, nine hundred twenty".