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74330970 = 23571747443
BaseRepresentation
bin1000110111000…
…11001101011010
312011212101220220
410123203031122
5123012042340
611213100510
71561542240
oct433431532
9164771826
1074330970
1138a59a5a
1220a87736
1312526c2c
149c2c790
1567d3ed0
hex46e335a

74330970 has 128 divisors (see below), whose sum is σ = 220962816. Its totient is φ = 15614976.

The previous prime is 74330969. The next prime is 74330981. The reversal of 74330970 is 7903347.

It is a super-3 number, since 3×743309703 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167569 + ... + 168011.

It is an arithmetic number, because the mean of its divisors is an integer number (1726272).

Almost surely, 274330970 is an apocalyptic number.

74330970 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 74330970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110481408).

74330970 is an abundant number, since it is smaller than the sum of its proper divisors (146631846).

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

74330970 is a wasteful number, since it uses less digits than its factorization.

74330970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524.

The product of its (nonzero) digits is 15876, while the sum is 33.

The square root of 74330970 is about 8621.5410455440. The cubic root of 74330970 is about 420.4586259975.

It can be divided in two parts, 743 and 30970, that added together give a palindrome (31713).

The spelling of 74330970 in words is "seventy-four million, three hundred thirty thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 47 51 70 85 94 102 105 119 141 170 210 235 238 255 282 329 357 443 470 510 595 658 705 714 799 886 987 1190 1329 1410 1598 1645 1785 1974 2215 2397 2658 3101 3290 3570 3995 4430 4794 4935 5593 6202 6645 7531 7990 9303 9870 11186 11985 13290 15062 15505 16779 18606 20821 22593 23970 27965 31010 33558 37655 41642 45186 46515 52717 55930 62463 75310 83895 93030 104105 105434 112965 124926 145747 158151 167790 208210 225930 263585 291494 312315 316302 353957 437241 527170 624630 707914 728735 790755 874482 1061871 1457470 1581510 1769785 2123742 2186205 2477699 3539570 4372410 4955398 5309355 7433097 10618710 12388495 14866194 24776990 37165485 74330970