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238038480 = 24335193571
BaseRepresentation
bin11100011000000…
…10110111010000
3121120220121102000
432030002313100
5441414212410
635341554000
75620202511
oct1614026720
9546817360
10238038480
11112403919
1267875900
133a415094
1423884a08
1515d6edc0
hexe302dd0

238038480 has 160 divisors (see below), whose sum is σ = 825601920. Its totient is φ = 63037440.

The previous prime is 238038457. The next prime is 238038481. The reversal of 238038480 is 84830832.

It is a happy number.

238038480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238038481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416595 + ... + 417165.

It is an arithmetic number, because the mean of its divisors is an integer number (5160012).

Almost surely, 2238038480 is an apocalyptic number.

238038480 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 238038480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412800960).

238038480 is an abundant number, since it is smaller than the sum of its proper divisors (587563440).

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

238038480 is a wasteful number, since it uses less digits than its factorization.

238038480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 238038480 is about 15428.4957140999. The cubic root of 238038480 is about 619.7488403441.

The spelling of 238038480 in words is "two hundred thirty-eight million, thirty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 193 216 240 270 360 386 432 540 571 579 720 772 965 1080 1142 1158 1544 1713 1737 1930 2160 2284 2316 2855 2895 3088 3426 3474 3860 4568 4632 5139 5211 5710 5790 6852 6948 7720 8565 8685 9136 9264 10278 10422 11420 11580 13704 13896 15417 15440 17130 17370 20556 20844 22840 23160 25695 26055 27408 27792 30834 34260 34740 41112 41688 45680 46320 51390 52110 61668 68520 69480 77085 82224 83376 102780 104220 110203 123336 137040 138960 154170 205560 208440 220406 246672 308340 330609 411120 416880 440812 551015 616680 661218 881624 991827 1102030 1233360 1322436 1653045 1763248 1983654 2204060 2644872 2975481 3306090 3967308 4408120 4959135 5289744 5950962 6612180 7934616 8816240 9918270 11901924 13224360 14877405 15869232 19836540 23803848 26448720 29754810 39673080 47607696 59509620 79346160 119019240 238038480