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38834712 = 23327292657
BaseRepresentation
bin1001010000100…
…1001000011000
32201002000012200
42110021020120
534420202322
63504210200
7651042510
oct224111030
981060180
1038834712
111aa15104
1211009960
138079327
14522c840
1536218ac
hex2509218

38834712 has 96 divisors (see below), whose sum is σ = 124394400. Its totient is φ = 10708992.

The previous prime is 38834711. The next prime is 38834713. The reversal of 38834712 is 21743883.

It is an interprime number because it is at equal distance from previous prime (38834711) and next prime (38834713).

It is a super-2 number, since 2×388347122 = 3016269712245888, which contains 22 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38834711) 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, 13288 + ... + 15944.

It is an arithmetic number, because the mean of its divisors is an integer number (1295775).

Almost surely, 238834712 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 38834712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62197200).

38834712 is an abundant number, since it is smaller than the sum of its proper divisors (85559688).

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

38834712 is a wasteful number, since it uses less digits than its factorization.

38834712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2698 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 38834712 is about 6231.7503159225. The cubic root of 38834712 is about 338.6413833675.

The spelling of 38834712 in words is "thirty-eight million, eight hundred thirty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 1044 1218 1624 1827 2088 2436 2657 3654 4872 5314 7308 7971 10628 14616 15942 18599 21256 23913 31884 37198 47826 55797 63768 74396 77053 95652 111594 148792 154106 167391 191304 223188 231159 308212 334782 446376 462318 539371 616424 669564 693477 924636 1078742 1339128 1386954 1618113 1849272 2157484 2773908 3236226 4314968 4854339 5547816 6472452 9708678 12944904 19417356 38834712