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74008242 = 23471117349
BaseRepresentation
bin1000110100101…
…00011010110010
312011021000020000
410122110122302
5122421230432
611202130430
71556026320
oct432243262
9164230200
1074008242
1138859540
1220950a16
1312443079
149b86d10
15676d57c
hex46946b2

74008242 has 160 divisors (see below), whose sum is σ = 219542400. Its totient is φ = 18040320.

The previous prime is 74008229. The next prime is 74008279. The reversal of 74008242 is 24280047.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 211884 + ... + 212232.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 274008242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74008242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109771200).

74008242 is an abundant number, since it is smaller than the sum of its proper divisors (145534158).

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

74008242 is a wasteful number, since it uses less digits than its factorization.

74008242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 74008242 is about 8602.8043102235. The cubic root of 74008242 is about 419.8492315991.

Adding to 74008242 its reverse (24280047), we get a palindrome (98288289).

The spelling of 74008242 in words is "seventy-four million, eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 27 33 34 42 51 54 63 66 77 81 99 102 119 126 153 154 162 187 189 198 231 238 297 306 349 357 374 378 459 462 561 567 594 693 698 714 891 918 1047 1071 1122 1134 1309 1377 1386 1683 1782 2079 2094 2142 2443 2618 2754 3141 3213 3366 3839 3927 4158 4886 5049 5933 6237 6282 6426 7329 7678 7854 9423 9639 10098 11517 11781 11866 12474 14658 15147 17799 18846 19278 21987 23034 23562 26873 28269 30294 34551 35343 35598 41531 43974 53397 53746 56538 65263 65961 69102 70686 80619 83062 103653 106029 106794 124593 130526 131922 160191 161238 195789 197883 207306 212058 241857 249186 310959 320382 373779 391578 395766 456841 480573 483714 587367 621918 725571 747558 913682 961146 1121337 1174734 1370523 1451142 1762101 2176713 2242674 2741046 3364011 3524202 4111569 4353426 5286303 6728022 8223138 10572606 12334707 24669414 37004121 74008242