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345716340 = 223531185869
BaseRepresentation
bin10100100110110…
…011011001110100
3220002112012122220
4110212303121310
51202000410330
654145522340
711365353234
oct2446633164
9802465586
10345716340
11168169892
12979433b0
13568164a8
1433cb3cc4
152053e710
hex149b3674

345716340 has 48 divisors (see below), whose sum is σ = 999237120. Its totient is φ = 89216640.

The previous prime is 345716339. The next prime is 345716351. The reversal of 345716340 is 43617543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91075 + ... + 94794.

It is an arithmetic number, because the mean of its divisors is an integer number (20817440).

Almost surely, 2345716340 is an apocalyptic number.

345716340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345716340 is an abundant number, since it is smaller than the sum of its proper divisors (653520780).

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

345716340 is a wasteful number, since it uses less digits than its factorization.

345716340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185912 (or 185910 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 345716340 is about 18593.4488463007. The cubic root of 345716340 is about 701.8429937588.

The spelling of 345716340 in words is "three hundred forty-five million, seven hundred sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 185869 371738 557607 743476 929345 1115214 1858690 2230428 2788035 3717380 5576070 5761939 11152140 11523878 17285817 23047756 28809695 34571634 57619390 69143268 86429085 115238780 172858170 345716340