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74340720 = 24335127271
BaseRepresentation
bin1000110111001…
…01100101110000
312011212220022000
410123211211300
5123012400340
611213214000
71561612536
oct433454560
9164786260
1074340720
1138a66313
1220a91300
131252b4bc
149c32156
1567d6d30
hex46e5970

74340720 has 160 divisors (see below), whose sum is σ = 259031040. Its totient is φ = 19595520.

The previous prime is 74340713. The next prime is 74340737. The reversal of 74340720 is 2704347.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274185 + ... + 274455.

It is an arithmetic number, because the mean of its divisors is an integer number (1618944).

Almost surely, 274340720 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 74340720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129515520).

74340720 is an abundant number, since it is smaller than the sum of its proper divisors (184690320).

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

74340720 is a wasteful number, since it uses less digits than its factorization.

74340720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 74340720 is about 8622.1064711589. The cubic root of 74340720 is about 420.4770090590.

The spelling of 74340720 in words is "seventy-four million, three hundred forty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 127 135 144 180 216 240 254 270 271 360 381 432 508 540 542 635 720 762 813 1016 1080 1084 1143 1270 1355 1524 1626 1905 2032 2160 2168 2286 2439 2540 2710 3048 3252 3429 3810 4065 4336 4572 4878 5080 5420 5715 6096 6504 6858 7317 7620 8130 9144 9756 10160 10840 11430 12195 13008 13716 14634 15240 16260 17145 18288 19512 21680 22860 24390 27432 29268 30480 32520 34290 34417 36585 39024 45720 48780 54864 58536 65040 68580 68834 73170 91440 97560 103251 117072 137160 137668 146340 172085 195120 206502 274320 275336 292680 309753 344170 413004 516255 550672 585360 619506 688340 826008 929259 1032510 1239012 1376680 1548765 1652016 1858518 2065020 2478024 2753360 3097530 3717036 4130040 4646295 4956048 6195060 7434072 8260080 9292590 12390120 14868144 18585180 24780240 37170360 74340720