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38345112 = 23321371577
BaseRepresentation
bin1001001001000…
…1100110011000
32200011010121100
42102101212120
534304020422
63445511400
7643633221
oct222214630
980133540
1038345112
111a710283
1210a12560
137c37520
145142248
1535767ac
hex2491998

38345112 has 96 divisors (see below), whose sum is σ = 113611680. Its totient is φ = 11612160.

The previous prime is 38345107. The next prime is 38345113. The reversal of 38345112 is 21154383.

It is a happy number.

It is a super-2 number, since 2×383451122 = 2940695228585088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38345113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66168 + ... + 66744.

It is an arithmetic number, because the mean of its divisors is an integer number (1183455).

Almost surely, 238345112 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 38345112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56805840).

38345112 is an abundant number, since it is smaller than the sum of its proper divisors (75266568).

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

38345112 is a wasteful number, since it uses less digits than its factorization.

38345112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 666 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 38345112 is about 6192.3430137550. The cubic root of 38345112 is about 337.2122452631.

Adding to 38345112 its reverse (21154383), we get a palindrome (59499495).

The spelling of 38345112 in words is "thirty-eight million, three hundred forty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 71 72 78 104 117 142 156 213 234 284 312 426 468 568 577 639 852 923 936 1154 1278 1704 1731 1846 2308 2556 2769 3462 3692 4616 5112 5193 5538 6924 7384 7501 8307 10386 11076 13848 15002 16614 20772 22152 22503 30004 33228 40967 41544 45006 60008 66456 67509 81934 90012 122901 135018 163868 180024 245802 270036 327736 368703 491604 532571 540072 737406 983208 1065142 1474812 1597713 2130284 2949624 3195426 4260568 4793139 6390852 9586278 12781704 19172556 38345112