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74104464 = 24374643
BaseRepresentation
bin1000110101010…
…11111010010000
312011102220012210
410122223322100
5122432320324
611204152120
71556610000
oct432537220
9164386183
1074104464
1138914865
1220998640
1312477ac5
149bb0000
15678bd29
hex46abe90

74104464 has 100 divisors (see below), whose sum is σ = 223676656. Its totient is φ = 21139776.

The previous prime is 74104423. The next prime is 74104469. The reversal of 74104464 is 46440147.

It is not an unprimeable number, because it can be changed into a prime (74104469) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 114927 + ... + 115569.

Almost surely, 274104464 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 74104464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111838328).

74104464 is an abundant number, since it is smaller than the sum of its proper divisors (149572192).

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

74104464 is an equidigital number, since it uses as much as digits as its factorization.

74104464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 74104464 is about 8608.3949723511. The cubic root of 74104464 is about 420.0311088069.

The spelling of 74104464 in words is "seventy-four million, one hundred four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 643 686 784 1029 1176 1286 1372 1929 2058 2352 2401 2572 2744 3858 4116 4501 4802 5144 5488 7203 7716 8232 9002 9604 10288 13503 14406 15432 16464 18004 19208 27006 28812 30864 31507 36008 38416 54012 57624 63014 72016 94521 108024 115248 126028 189042 216048 220549 252056 378084 441098 504112 661647 756168 882196 1323294 1512336 1543843 1764392 2646588 3087686 3528784 4631529 5293176 6175372 9263058 10586352 12350744 18526116 24701488 37052232 74104464