Search a number
-
+
38082312 = 2334173457
BaseRepresentation
bin1001000101000…
…1011100001000
32122122210010000
42101101130020
534222113222
63440123000
7641460102
oct221213410
978583100
1038082312
111a550894
1210906460
137b74a18
1450b4572
1535239ac
hex2451708

38082312 has 80 divisors (see below), whose sum is σ = 112972860. Its totient is φ = 11943936.

The previous prime is 38082283. The next prime is 38082313. The reversal of 38082312 is 21328083.

It can be written as a sum of positive squares in 2 ways, for example, as 36796356 + 1285956 = 6066^2 + 1134^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (38082313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9288 + ... + 12744.

Almost surely, 238082312 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 38082312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56486430).

38082312 is an abundant number, since it is smaller than the sum of its proper divisors (74890548).

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

38082312 is a wasteful number, since it uses less digits than its factorization.

38082312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38082312 is about 6171.0867762494. The cubic root of 38082312 is about 336.4401120399.

The spelling of 38082312 in words is "thirty-eight million, eighty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3457 3672 5508 6914 10371 11016 13828 20742 27656 31113 41484 58769 62226 82968 93339 117538 124452 176307 186678 235076 248904 280017 352614 373356 470152 528921 560034 705228 746712 1057842 1120068 1410456 1586763 2115684 2240136 3173526 4231368 4760289 6347052 9520578 12694104 19041156 38082312