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250343040 = 2735235669
BaseRepresentation
bin11101110101111…
…10111010000000
3122110001202002110
432322332322000
51003041434130
640501415320
76126611043
oct1672767200
9573052073
10250343040
11119348482
126ba0a540
133cb3289c
1425368c5a
1516ea0ab0
hexeebee80

250343040 has 128 divisors (see below), whose sum is σ = 832809600. Its totient is φ = 63844352.

The previous prime is 250342991. The next prime is 250343057. The reversal of 250343040 is 40343052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 250342998 and 250343016.

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, 41326 + ... + 46994.

It is an arithmetic number, because the mean of its divisors is an integer number (6506325).

Almost surely, 2250343040 is an apocalyptic number.

250343040 is a gapful number since it is divisible by the number (20) 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 250343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416404800).

250343040 is an abundant number, since it is smaller than the sum of its proper divisors (582466560).

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

250343040 is a wasteful number, since it uses less digits than its factorization.

250343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5714 (or 5702 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 250343040 is about 15822.2324594224. The cubic root of 250343040 is about 630.2485288031.

Adding to 250343040 its reverse (40343052), we get a palindrome (290686092).

The spelling of 250343040 in words is "two hundred fifty million, three hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 276 320 345 368 384 460 480 552 640 690 736 920 960 1104 1380 1472 1840 1920 2208 2760 2944 3680 4416 5520 5669 7360 8832 11040 11338 14720 17007 22080 22676 28345 34014 44160 45352 56690 68028 85035 90704 113380 130387 136056 170070 181408 226760 260774 272112 340140 362816 391161 453520 521548 544224 651935 680280 725632 782322 907040 1043096 1088448 1303870 1360560 1564644 1814080 1955805 2086192 2176896 2607740 2721120 3129288 3628160 3911610 4172384 5215480 5442240 6258576 7823220 8344768 10430960 10884480 12517152 15646440 16689536 20861920 25034304 31292880 41723840 50068608 62585760 83447680 125171520 250343040