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341739840 = 263513139197
BaseRepresentation
bin10100010111101…
…000100101000000
3212211001011221010
4110113220211000
51144441133330
653524400520
711316512031
oct2427504500
9784034833
10341739840
111659a3222
1296546140
1355a53530
143355aa88
15200063b0
hex145e8940

341739840 has 224 divisors, whose sum is σ = 1182867840. Its totient is φ = 83091456.

The previous prime is 341739823. The next prime is 341739841. The reversal of 341739840 is 48937143.

It is a super-2 number, since 2×3417398402 = 233572236486451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341739841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1734622 + ... + 1734818.

It is an arithmetic number, because the mean of its divisors is an integer number (5280660).

Almost surely, 2341739840 is an apocalyptic number.

341739840 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 341739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591433920).

341739840 is an abundant number, since it is smaller than the sum of its proper divisors (841128000).

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

341739840 is a wasteful number, since it uses less digits than its factorization.

341739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 341739840 is about 18486.2067498987. The cubic root of 341739840 is about 699.1416963220.

The spelling of 341739840 in words is "three hundred forty-one million, seven hundred thirty-nine thousand, eight hundred forty".