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74330080 = 25511157269
BaseRepresentation
bin1000110111000…
…10111111100000
312011212100200221
410123202333200
5123012030310
611213052424
71561536526
oct433427740
9164770627
1074330080
1138a59320
1220a87114
13125266c6
149c2c316
1567d3ada
hex46e2fe0

74330080 has 96 divisors (see below), whose sum is σ = 193505760. Its totient is φ = 26757120.

The previous prime is 74330059. The next prime is 74330083. The reversal of 74330080 is 8003347.

It is a super-3 number, since 3×743300803 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74330083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276186 + ... + 276454.

It is an arithmetic number, because the mean of its divisors is an integer number (2015685).

Almost surely, 274330080 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 74330080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96752880).

74330080 is an abundant number, since it is smaller than the sum of its proper divisors (119175680).

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

74330080 is a wasteful number, since it uses less digits than its factorization.

74330080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 74330080 is about 8621.4894304871. The cubic root of 74330080 is about 420.4569478739.

The spelling of 74330080 in words is "seventy-four million, three hundred thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 157 160 176 220 269 314 352 440 538 628 785 880 1076 1256 1345 1570 1727 1760 2152 2512 2690 2959 3140 3454 4304 5024 5380 5918 6280 6908 8608 8635 10760 11836 12560 13816 14795 17270 21520 23672 25120 27632 29590 34540 42233 43040 47344 55264 59180 69080 84466 94688 118360 138160 168932 211165 236720 276320 337864 422330 464563 473440 675728 844660 929126 1351456 1689320 1858252 2322815 3378640 3716504 4645630 6757280 7433008 9291260 14866016 18582520 37165040 74330080