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838243040 = 25571113653
BaseRepresentation
bin110001111101101…
…001001011100000
32011102022011021112
4301331221023200
53204042234130
6215102242452
726525643155
oct6175511340
92142264245
10838243040
113a0191448
121b4886428
13104882acb
147d48222c
154d8cd495
hex31f692e0

838243040 has 96 divisors (see below), whose sum is σ = 2029116096. Its totient is φ = 327147520.

The previous prime is 838243019. The next prime is 838243061. The reversal of 838243040 is 40342838.

838243040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (838243019) and next prime (838243061).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 838242988 and 838243006.

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, 1283354 + ... + 1284006.

It is an arithmetic number, because the mean of its divisors is an integer number (21136626).

Almost surely, 2838243040 is an apocalyptic number.

838243040 is a gapful number since it is divisible by the number (80) 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 838243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014558048).

838243040 is an abundant number, since it is smaller than the sum of its proper divisors (1190873056).

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

838243040 is a wasteful number, since it uses less digits than its factorization.

838243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 838243040 is about 28952.4271866799. The cubic root of 838243040 is about 942.8804956392.

Adding to 838243040 its reverse (40342838), we get a palindrome (878585878).

The spelling of 838243040 in words is "eight hundred thirty-eight million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 113 142 160 226 284 355 452 565 568 653 710 904 1130 1136 1306 1420 1808 2260 2272 2612 2840 3265 3616 4520 5224 5680 6530 8023 9040 10448 11360 13060 16046 18080 20896 26120 32092 40115 46363 52240 64184 73789 80230 92726 104480 128368 147578 160460 185452 231815 256736 295156 320920 368945 370904 463630 590312 641840 737890 741808 927260 1180624 1283680 1475780 1483616 1854520 2361248 2951560 3709040 5239019 5903120 7418080 10478038 11806240 20956076 26195095 41912152 52390190 83824304 104780380 167648608 209560760 419121520 838243040