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74071424 = 277192229
BaseRepresentation
bin1000110101000…
…11110110000000
312011101012220002
410122203312000
5122430241144
611203335132
71556411450
oct432436600
9164335802
1074071424
11388a1a59
12209814a8
1312465a5b
149ba1d60
15678214e
hex46a3d80

74071424 has 96 divisors (see below), whose sum is σ = 178765200. Its totient is φ = 29942784.

The previous prime is 74071351. The next prime is 74071433. The reversal of 74071424 is 42417047.

It is a super-3 number, since 3×740714243 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323342 + ... + 323570.

Almost surely, 274071424 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 74071424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89382600).

74071424 is an abundant number, since it is smaller than the sum of its proper divisors (104693776).

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

74071424 is a wasteful number, since it uses less digits than its factorization.

74071424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 29.

The square root of 74071424 is about 8606.4757014704. The cubic root of 74071424 is about 419.9686749124.

The spelling of 74071424 in words is "seventy-four million, seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 229 266 304 361 448 458 532 608 722 896 916 1064 1216 1444 1603 1832 2128 2432 2527 2888 3206 3664 4256 4351 5054 5776 6412 7328 8512 8702 10108 11552 12824 14656 17024 17404 20216 23104 25648 29312 30457 34808 40432 46208 51296 60914 69616 80864 82669 102592 121828 139232 161728 165338 205184 243656 278464 323456 330676 487312 556928 578683 661352 974624 1157366 1322704 1949248 2314732 2645408 3898496 4629464 5290816 9258928 10581632 18517856 37035712 74071424