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38806320 = 2435723099
BaseRepresentation
bin1001010000001…
…0001100110000
32201000120021010
42110002030300
534413300240
63503430520
7650563650
oct224021460
981016233
1038806320
111a9a5843
1210bb5440
138069427
145222360
153618280
hex2502330

38806320 has 80 divisors (see below), whose sum is σ = 137491200. Its totient is φ = 8869632.

The previous prime is 38806307. The next prime is 38806337. The reversal of 38806320 is 2360883.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9870 + ... + 13229.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 238806320 is an apocalyptic number.

38806320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38806320 is an abundant number, since it is smaller than the sum of its proper divisors (98684880).

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

38806320 is a wasteful number, since it uses less digits than its factorization.

38806320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23122 (or 23116 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 38806320 is about 6229.4718877285. The cubic root of 38806320 is about 338.5588365109.

The spelling of 38806320 in words is "thirty-eight million, eight hundred six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 23099 46198 69297 92396 115495 138594 161693 184792 230990 277188 323386 346485 369584 461980 485079 554376 646772 692970 808465 923960 970158 1108752 1293544 1385940 1616930 1847920 1940316 2425395 2587088 2771880 3233860 3880632 4850790 5543760 6467720 7761264 9701580 12935440 19403160 38806320