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74219320 = 23572191993
BaseRepresentation
bin1000110110001…
…11111100111000
312011122201202201
410123013330320
5123000004240
611210435544
71560565600
oct433077470
9164581681
1074219320
113899308a
1220a32bb4
13124b8176
149bddc00
1567b0d9a
hex46c7f38

74219320 has 96 divisors (see below), whose sum is σ = 204584400. Its totient is φ = 24095232.

The previous prime is 74219291. The next prime is 74219329. The reversal of 74219320 is 2391247.

It is a super-2 number, since 2×742193202 = 11017014922524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74219329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36244 + ... + 38236.

Almost surely, 274219320 is an apocalyptic number.

74219320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74219320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102292200).

74219320 is an abundant number, since it is smaller than the sum of its proper divisors (130365080).

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

74219320 is a wasteful number, since it uses less digits than its factorization.

74219320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 74219320 is about 8615.0635517099. The cubic root of 74219320 is about 420.2480016792.

The spelling of 74219320 in words is "seventy-four million, two hundred nineteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 380 392 490 532 665 760 931 980 1064 1330 1862 1960 1993 2660 3724 3986 4655 5320 7448 7972 9310 9965 13951 15944 18620 19930 27902 37240 37867 39860 55804 69755 75734 79720 97657 111608 139510 151468 189335 195314 265069 279020 302936 378670 390628 488285 530138 558040 757340 781256 976570 1060276 1325345 1514680 1855483 1953140 2120552 2650690 3710966 3906280 5301380 7421932 9277415 10602760 14843864 18554830 37109660 74219320