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38349960 = 233511171709
BaseRepresentation
bin1001001001001…
…0110010001000
32200011101020220
42102102302020
534304144320
63445550040
7643653315
oct222226210
980141226
1038349960
111a713990
1210a15320
137c397ac
145143d0c
153577e40
hex2492c88

38349960 has 128 divisors (see below), whose sum is σ = 132969600. Its totient is φ = 8744960.

The previous prime is 38349959. The next prime is 38349967. The reversal of 38349960 is 6994383.

It is not an unprimeable number, because it can be changed into a prime (38349967) 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, 21586 + ... + 23294.

It is an arithmetic number, because the mean of its divisors is an integer number (1038825).

Almost surely, 238349960 is an apocalyptic number.

38349960 is a gapful number since it is divisible by the number (30) 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 38349960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66484800).

38349960 is an abundant number, since it is smaller than the sum of its proper divisors (94619640).

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

38349960 is a wasteful number, since it uses less digits than its factorization.

38349960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 38349960 is about 6192.7344525662. The cubic root of 38349960 is about 337.2264559929.

The spelling of 38349960 in words is "thirty-eight million, three hundred forty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1709 1870 2040 2244 2805 3418 3740 4488 5127 5610 6836 7480 8545 10254 11220 13672 17090 18799 20508 22440 25635 29053 34180 37598 41016 51270 56397 58106 68360 75196 87159 93995 102540 112794 116212 145265 150392 174318 187990 205080 225588 232424 281985 290530 319583 348636 375980 435795 451176 563970 581060 639166 697272 751960 871590 958749 1127940 1162120 1278332 1597915 1743180 1917498 2255880 2556664 3195830 3486360 3834996 4793745 6391660 7669992 9587490 12783320 19174980 38349960