Search a number
-
+
38323840 = 275233257
BaseRepresentation
bin1001001000110…
…0011010000000
32200010001102111
42102030122000
534302330330
63445225104
7643514212
oct222143200
980101374
1038323840
111a6a62a5
1210a02194
137c2a939
1451385b2
15357032a
hex248c680

38323840 has 64 divisors (see below), whose sum is σ = 92369160. Its totient is φ = 15204352.

The previous prime is 38323777. The next prime is 38323849. The reversal of 38323840 is 4832383.

It can be written as a sum of positive squares in 4 ways, for example, as 35141184 + 3182656 = 5928^2 + 1784^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (38323849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148992 + ... + 149248.

Almost surely, 238323840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46184580).

38323840 is an abundant number, since it is smaller than the sum of its proper divisors (54045320).

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

38323840 is a wasteful number, since it uses less digits than its factorization.

38323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 38323840 is about 6190.6251703685. The cubic root of 38323840 is about 337.1498774205.

The spelling of 38323840 in words is "thirty-eight million, three hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 233 257 320 466 514 640 932 1028 1165 1285 1864 2056 2330 2570 3728 4112 4660 5140 7456 8224 9320 10280 14912 16448 18640 20560 29824 32896 37280 41120 59881 74560 82240 119762 149120 164480 239524 299405 479048 598810 958096 1197620 1916192 2395240 3832384 4790480 7664768 9580960 19161920 38323840