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343750140 = 2232510318541
BaseRepresentation
bin10100011111010…
…011010111111100
3212221211022112200
4110133103113330
51201000001030
654035431500
711342553666
oct2437232774
9787738480
10343750140
11167046628
1297155590
13562a8566
1433921536
15202a1d60
hex147d35fc

343750140 has 72 divisors (see below), whose sum is σ = 1052888928. Its totient is φ = 90771840.

The previous prime is 343750117. The next prime is 343750163. The reversal of 343750140 is 41057343.

It is an interprime number because it is at equal distance from previous prime (343750117) and next prime (343750163).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9270 + ... + 27810.

Almost surely, 2343750140 is an apocalyptic number.

343750140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 18540×18541.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343750140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526444464).

343750140 is an abundant number, since it is smaller than the sum of its proper divisors (709138788).

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

343750140 is a wasteful number, since it uses less digits than its factorization.

343750140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18659 (or 18654 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 343750140 is about 18540.4999932580. The cubic root of 343750140 is about 700.5099277634.

The spelling of 343750140 in words is "three hundred forty-three million, seven hundred fifty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 6180 9270 18540 18541 37082 55623 74164 92705 111246 166869 185410 222492 278115 333738 370820 556230 667476 834345 1112460 1668690 1909723 3337380 3819446 5729169 7638892 9548615 11458338 17187507 19097230 22916676 28645845 34375014 38194460 57291690 68750028 85937535 114583380 171875070 343750140