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38399340 = 22357237353
BaseRepresentation
bin1001001001111…
…0110101101100
32200020212222210
42102132311230
534312234330
63451010420
7644250300
oct222366554
980225883
1038399340
111a747aa1
1210a39a10
137c56105
145157d00
1535878b0
hex249ed6c

38399340 has 144 divisors (see below), whose sum is σ = 128816352. Its totient is φ = 8515584.

The previous prime is 38399287. The next prime is 38399341. The reversal of 38399340 is 4399383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38399341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108604 + ... + 108956.

It is an arithmetic number, because the mean of its divisors is an integer number (894558).

Almost surely, 238399340 is an apocalyptic number.

38399340 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 38399340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64408176).

38399340 is an abundant number, since it is smaller than the sum of its proper divisors (90417012).

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

38399340 is a wasteful number, since it uses less digits than its factorization.

38399340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 38399340 is about 6196.7201001820. The cubic root of 38399340 is about 337.3711332431.

The spelling of 38399340 in words is "thirty-eight million, three hundred ninety-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 49 60 70 74 84 98 105 111 140 147 148 185 196 210 222 245 259 294 353 370 420 444 490 518 555 588 706 735 740 777 980 1036 1059 1110 1295 1412 1470 1554 1765 1813 2118 2220 2471 2590 2940 3108 3530 3626 3885 4236 4942 5180 5295 5439 7060 7252 7413 7770 9065 9884 10590 10878 12355 13061 14826 15540 17297 18130 21180 21756 24710 26122 27195 29652 34594 36260 37065 39183 49420 51891 52244 54390 65305 69188 74130 78366 86485 91427 103782 108780 130610 148260 156732 172970 182854 195915 207564 259455 261220 274281 345940 365708 391830 457135 518910 548562 639989 783660 914270 1037820 1097124 1279978 1371405 1828540 1919967 2559956 2742810 3199945 3839934 5485620 6399890 7679868 9599835 12799780 19199670 38399340