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38972340 = 22311511
BaseRepresentation
bin1001010010101…
…0101110110100
32201100000000000
42110222232310
534434103330
63511151300
7652154661
oct224525664
981300000
1038972340
111aaa9550
1211075530
1380c6b74
145266a68
15364c560
hex252abb4

38972340 has 144 divisors (see below), whose sum is σ = 133922880. Its totient is φ = 9447840.

The previous prime is 38972321. The next prime is 38972357. The reversal of 38972340 is 4327983.

38972340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 38972295 and 38972304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3542935 + ... + 3542945.

It is an arithmetic number, because the mean of its divisors is an integer number (930020).

Almost surely, 238972340 is an apocalyptic number.

38972340 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 38972340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66961440).

38972340 is an abundant number, since it is smaller than the sum of its proper divisors (94950540).

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

38972340 is an equidigital number, since it uses as much as digits as its factorization.

38972340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 38972340 is about 6242.7830332313. The cubic root of 38972340 is about 339.0409536239.

The spelling of 38972340 in words is "thirty-eight million, nine hundred seventy-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 729 810 891 972 990 1188 1215 1458 1485 1620 1782 1980 2187 2430 2673 2916 2970 3564 3645 4374 4455 4860 5346 5940 6561 7290 8019 8748 8910 10692 10935 13122 13365 14580 16038 17820 19683 21870 24057 26244 26730 32076 32805 39366 40095 43740 48114 53460 59049 65610 72171 78732 80190 96228 98415 118098 120285 131220 144342 160380 177147 196830 216513 236196 240570 288684 295245 354294 360855 393660 433026 481140 590490 649539 708588 721710 866052 885735 1082565 1180980 1299078 1443420 1771470 1948617 2165130 2598156 3247695 3542940 3897234 4330260 6495390 7794468 9743085 12990780 19486170 38972340