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238685440 = 2857171567
BaseRepresentation
bin11100011101000…
…00110100000000
3121122010110212111
432032200310000
5442100413230
635403505104
75625535630
oct1616406400
9548113774
10238685440
111128059a4
1267b28194
133a5b06b6
14239b26c0
1515e4b92a
hexe3a0d00

238685440 has 144 divisors (see below), whose sum is σ = 692278272. Its totient is φ = 76972032.

The previous prime is 238685431. The next prime is 238685443. The reversal of 238685440 is 44586832.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 238685393 and 238685402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238685443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151537 + ... + 153103.

It is an arithmetic number, because the mean of its divisors is an integer number (4807488).

Almost surely, 2238685440 is an apocalyptic number.

238685440 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 238685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346139136).

238685440 is an abundant number, since it is smaller than the sum of its proper divisors (453592832).

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

238685440 is a wasteful number, since it uses less digits than its factorization.

238685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 238685440 is about 15449.4478865751. The cubic root of 238685440 is about 620.3098000822.

The spelling of 238685440 in words is "two hundred thirty-eight million, six hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 256 272 280 320 340 448 476 544 560 595 640 680 896 952 1088 1120 1190 1280 1360 1567 1792 1904 2176 2240 2380 2720 3134 3808 4352 4480 4760 5440 6268 7616 7835 8960 9520 10880 10969 12536 15232 15670 19040 21760 21938 25072 26639 30464 31340 38080 43876 50144 53278 54845 62680 76160 87752 100288 106556 109690 125360 133195 152320 175504 186473 200576 213112 219380 250720 266390 351008 372946 401152 426224 438760 501440 532780 702016 745892 852448 877520 932365 1002880 1065560 1404032 1491784 1704896 1755040 1864730 2005760 2131120 2808064 2983568 3409792 3510080 3729460 4262240 5967136 6819584 7020160 7458920 8524480 11934272 14040320 14917840 17048960 23868544 29835680 34097920 47737088 59671360 119342720 238685440