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38364414 = 231123127199
BaseRepresentation
bin1001001001011…
…0010011111110
32200012010002020
42102112103332
534310130124
63450141010
7644043414
oct222262376
980163066
1038364414
111a723830
1210a21766
137c4324a
1451492b4
15357c379
hex24964fe

38364414 has 64 divisors (see below), whose sum is σ = 88473600. Its totient is φ = 10977120.

The previous prime is 38364413. The next prime is 38364457. The reversal of 38364414 is 41446383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38364413) 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, 192687 + ... + 192885.

It is an arithmetic number, because the mean of its divisors is an integer number (1382400).

Almost surely, 238364414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38364414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44236800).

38364414 is an abundant number, since it is smaller than the sum of its proper divisors (50109186).

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

38364414 is a wasteful number, since it uses less digits than its factorization.

38364414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365.

The product of its digits is 27648, while the sum is 33.

The square root of 38364414 is about 6193.9013553656. The cubic root of 38364414 is about 337.2688172622.

The spelling of 38364414 in words is "thirty-eight million, three hundred sixty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 127 138 199 253 254 381 398 506 597 759 762 1194 1397 1518 2189 2794 2921 4191 4378 4577 5842 6567 8382 8763 9154 13134 13731 17526 25273 27462 32131 50347 50546 64262 75819 96393 100694 151041 151638 192786 278003 302082 556006 581279 834009 1162558 1668018 1743837 3487674 6394069 12788138 19182207 38364414