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340213125 = 35473232
BaseRepresentation
bin10100010001110…
…011110110000101
3212201011121200010
4110101303312011
51144043310000
653431540433
711300523000
oct2421636605
9781147603
10340213125
1116505017a
1295b2a719
135563a655
1433280537
151ed03d50
hex14473d85

340213125 has 120 divisors (see below), whose sum is σ = 691028800. Its totient is φ = 148764000.

The previous prime is 340213073. The next prime is 340213151. The reversal of 340213125 is 521312043.

It is not a de Polignac number, because 340213125 - 27 = 340212997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14791864 + ... + 14791886.

Almost surely, 2340213125 is an apocalyptic number.

340213125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

340213125 is an abundant number, since it is smaller than the sum of its proper divisors (350815675).

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

340213125 is an frugal number, since it uses more digits than its factorization.

340213125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 340213125 is about 18444.8671721973. The cubic root of 340213125 is about 698.0990088150.

Multiplying 340213125 by its sum of digits (21), we get a square (7144475625 = 845252).

340213125 divided by its sum of digits (21) gives a square (16200625 = 40252).

Adding to 340213125 its reverse (521312043), we get a palindrome (861525168).

The spelling of 340213125 in words is "three hundred forty million, two hundred thirteen thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 23 25 35 49 69 75 105 115 125 147 161 175 245 343 345 375 483 525 529 575 625 735 805 875 1029 1127 1225 1587 1715 1725 1875 2415 2625 2645 2875 3381 3675 3703 4025 4375 5145 5635 6125 7889 7935 8575 8625 11109 12075 13125 13225 14375 16905 18375 18515 20125 23667 25725 25921 28175 30625 39445 39675 42875 43125 55545 60375 66125 77763 84525 91875 92575 100625 118335 128625 129605 140875 181447 197225 198375 214375 277725 301875 330625 388815 422625 462875 544341 591675 643125 648025 704375 907235 986125 991875 1388625 1944075 2113125 2314375 2721705 2958375 3240125 4536175 4930625 6943125 9720375 13608525 14791875 16200625 22680875 48601875 68042625 113404375 340213125