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238908320 = 2557231983
BaseRepresentation
bin11100011110101…
…11001110100000
3121122112210121022
432033113032200
5442130031240
635412345012
75630454500
oct1617271640
9548483538
10238908320
111129483a2
1268015168
133a65ac91
1423a2da00
1515e929b5
hexe3d73a0

238908320 has 144 divisors (see below), whose sum is σ = 678440448. Its totient is φ = 79188480.

The previous prime is 238908281. The next prime is 238908323. The reversal of 238908320 is 23809832.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (238908323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242549 + ... + 243531.

It is an arithmetic number, because the mean of its divisors is an integer number (4711392).

Almost surely, 2238908320 is an apocalyptic number.

238908320 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 238908320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339220224).

238908320 is an abundant number, since it is smaller than the sum of its proper divisors (439532128).

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

238908320 is a wasteful number, since it uses less digits than its factorization.

238908320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 238908320 is about 15456.6594062236. The cubic root of 238908320 is about 620.5028179126.

The spelling of 238908320 in words is "two hundred thirty-eight million, nine hundred eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 49 56 62 70 80 98 112 124 140 155 160 196 217 224 245 248 280 310 392 434 490 496 560 620 784 868 980 983 992 1085 1120 1240 1519 1568 1736 1960 1966 2170 2480 3038 3472 3920 3932 4340 4915 4960 6076 6881 6944 7595 7840 7864 8680 9830 12152 13762 15190 15728 17360 19660 24304 27524 30380 30473 31456 34405 34720 39320 48167 48608 55048 60760 60946 68810 78640 96334 110096 121520 121892 137620 152365 157280 192668 213311 220192 240835 243040 243784 275240 304730 385336 426622 481670 487568 550480 609460 770672 853244 963340 975136 1066555 1100960 1218920 1493177 1541344 1706488 1926680 2133110 2437840 2986354 3412976 3853360 4266220 4875680 5972708 6825952 7465885 7706720 8532440 11945416 14931770 17064880 23890832 29863540 34129760 47781664 59727080 119454160 238908320