Search a number
-
+
38280360 = 2335714493
BaseRepresentation
bin1001001000000…
…1110010101000
32200000211210010
42102001302220
534244432420
63444251520
7643243356
oct222016250
980024703
1038280360
111a676668
12109a0ba0
137c13c01
1451267d6
1535624e0
hex2481ca8

38280360 has 64 divisors (see below), whose sum is σ = 116484480. Its totient is φ = 10062080.

The previous prime is 38280343. The next prime is 38280373. The reversal of 38280360 is 6308283.

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, 6274 + ... + 10766.

It is an arithmetic number, because the mean of its divisors is an integer number (1820070).

Almost surely, 238280360 is an apocalyptic number.

38280360 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 38280360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58242240).

38280360 is an abundant number, since it is smaller than the sum of its proper divisors (78204120).

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

38280360 is a wasteful number, since it uses less digits than its factorization.

38280360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 4574 counting only the distinct ones).

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

The square root of 38280360 is about 6187.1124121031. The cubic root of 38280360 is about 337.0223256231.

The spelling of 38280360 in words is "thirty-eight million, two hundred eighty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 4493 8520 8986 13479 17972 22465 26958 35944 44930 53916 67395 89860 107832 134790 179720 269580 319003 539160 638006 957009 1276012 1595015 1914018 2552024 3190030 3828036 4785045 6380060 7656072 9570090 12760120 19140180 38280360