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38341296 = 2433731409
BaseRepresentation
bin1001001001000…
…0101010110000
32200010221101000
42102100222300
534303410141
63445442000
7643616130
oct222205260
980127330
1038341296
111a708424
1210a10300
137c35876
145140ac0
1535755b6
hex2490ab0

38341296 has 160 divisors (see below), whose sum is σ = 130150400. Its totient is φ = 10575360.

The previous prime is 38341291. The next prime is 38341301. The reversal of 38341296 is 69214383.

It is an interprime number because it is at equal distance from previous prime (38341291) and next prime (38341301).

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 38341296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38341291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93540 + ... + 93948.

It is an arithmetic number, because the mean of its divisors is an integer number (813440).

Almost surely, 238341296 is an apocalyptic number.

38341296 is a gapful number since it is divisible by the number (36) 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 38341296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65075200).

38341296 is an abundant number, since it is smaller than the sum of its proper divisors (91809104).

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

38341296 is a wasteful number, since it uses less digits than its factorization.

38341296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 452 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 38341296 is about 6192.0348836227. The cubic root of 38341296 is about 337.2010587472.

The spelling of 38341296 in words is "thirty-eight million, three hundred forty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 144 168 186 189 216 217 248 252 279 336 372 378 409 432 434 496 504 558 651 744 756 818 837 868 1008 1116 1227 1302 1488 1512 1636 1674 1736 1953 2232 2454 2604 2863 3024 3272 3348 3472 3681 3906 4464 4908 5208 5726 5859 6544 6696 7362 7812 8589 9816 10416 11043 11452 11718 12679 13392 14724 15624 17178 19632 22086 22904 23436 25358 25767 29448 31248 34356 38037 44172 45808 46872 50716 51534 58896 68712 76074 77301 88344 88753 93744 101432 103068 114111 137424 152148 154602 176688 177506 202864 206136 228222 266259 304296 309204 342333 355012 412272 456444 532518 608592 618408 684666 710024 798777 912888 1065036 1236816 1369332 1420048 1597554 1825776 2130072 2396331 2738664 3195108 4260144 4792662 5477328 6390216 9585324 12780432 19170648 38341296