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38349612 = 2234737457
BaseRepresentation
bin1001001001001…
…0101100101100
32200011100210000
42102102230230
534304141422
63445544300
7643652310
oct222225454
980140700
1038349612
111a7136a4
1210a15090
137c395a2
145143b40
153577cac
hex2492b2c

38349612 has 120 divisors (see below), whose sum is σ = 117929504. Its totient is φ = 10637568.

The previous prime is 38349583. The next prime is 38349659. The reversal of 38349612 is 21694383.

38349612 is a `hidden beast` number, since 3 + 8 + 34 + 9 + 612 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83688 + ... + 84144.

Almost surely, 238349612 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 38349612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58964752).

38349612 is an abundant number, since it is smaller than the sum of its proper divisors (79579892).

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

38349612 is a wasteful number, since it uses less digits than its factorization.

38349612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 506 counting only the distinct ones).

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

The square root of 38349612 is about 6192.7063550600. The cubic root of 38349612 is about 337.2254359556.

The spelling of 38349612 in words is "thirty-eight million, three hundred forty-nine thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 81 84 108 111 126 148 162 189 222 252 259 324 333 378 444 457 518 567 666 756 777 914 999 1036 1134 1332 1371 1554 1828 1998 2268 2331 2742 2997 3108 3199 3996 4113 4662 5484 5994 6398 6993 8226 9324 9597 11988 12339 12796 13986 16452 16909 19194 20979 24678 27972 28791 33818 37017 38388 41958 49356 50727 57582 67636 74034 83916 86373 101454 115164 118363 148068 152181 172746 202908 236726 259119 304362 345492 355089 456543 473452 518238 608724 710178 913086 1036476 1065267 1369629 1420356 1826172 2130534 2739258 3195801 4261068 5478516 6391602 9587403 12783204 19174806 38349612