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346453140 = 2235112329787
BaseRepresentation
bin10100101001100…
…111010010010100
3220010220122100210
4110221213102110
51202143000030
654213405420
711404542315
oct2451472224
9803818323
10346453140
11168622410
1298039870
1356a13977
143402660c
1520637bb0
hex14a67494

346453140 has 192 divisors, whose sum is σ = 1143797760. Its totient is φ = 77468160.

The previous prime is 346453097. The next prime is 346453147. The reversal of 346453140 is 41354643.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 346453098 and 346453107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346453147) 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 63 ways as a sum of consecutive naturals, for example, 439827 + ... + 440613.

It is an arithmetic number, because the mean of its divisors is an integer number (5957280).

Almost surely, 2346453140 is an apocalyptic number.

346453140 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 346453140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571898880).

346453140 is an abundant number, since it is smaller than the sum of its proper divisors (797344620).

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

346453140 is a wasteful number, since it uses less digits than its factorization.

346453140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 346453140 is about 18613.2517309577. The cubic root of 346453140 is about 702.3412355514.

The spelling of 346453140 in words is "three hundred forty-six million, four hundred fifty-three thousand, one hundred forty".