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340742376 = 23351397139
BaseRepresentation
bin10100010011110…
…101000011101000
3212202011111200000
4110103311003220
51144212224001
653451143000
711305156002
oct2423650350
9782144600
10340742376
11165381877
1296144a60
1355794510
143337b372
151edaaa86
hex144f50e8

340742376 has 192 divisors, whose sum is σ = 1048756800. Its totient is φ = 103016448.

The previous prime is 340742351. The next prime is 340742377. The reversal of 340742376 is 673247043.

It is a happy number.

It is a super-2 number, since 2×3407423762 = 232210733604250752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 340742376.

It is not an unprimeable number, because it can be changed into a prime (340742377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2451315 + ... + 2451453.

It is an arithmetic number, because the mean of its divisors is an integer number (5462275).

Almost surely, 2340742376 is an apocalyptic number.

340742376 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 340742376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524378400).

340742376 is an abundant number, since it is smaller than the sum of its proper divisors (708014424).

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

340742376 is a wasteful number, since it uses less digits than its factorization.

340742376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 340742376 is about 18459.2084337330. The cubic root of 340742376 is about 698.4608194457.

The spelling of 340742376 in words is "three hundred forty million, seven hundred forty-two thousand, three hundred seventy-six".