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74400534 = 232131759317
BaseRepresentation
bin1000110111101…
…00001100010110
312011222221100100
410123310030112
5123021304114
611214354530
71562252115
oct433641426
9164887310
1074400534
1138aa724a
1220abba46
131254c7b0
149c49c7c
1567e9909
hex46f4316

74400534 has 96 divisors (see below), whose sum is σ = 187518240. Its totient is φ = 21113856.

The previous prime is 74400511. The next prime is 74400559. The reversal of 74400534 is 43500447.

It is a junction number, because it is equal to n+sod(n) for n = 74400498 and 74400507.

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 47 ways as a sum of consecutive naturals, for example, 234544 + ... + 234860.

It is an arithmetic number, because the mean of its divisors is an integer number (1953315).

Almost surely, 274400534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74400534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93759120).

74400534 is an abundant number, since it is smaller than the sum of its proper divisors (113117706).

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

74400534 is a wasteful number, since it uses less digits than its factorization.

With its successor (74400535) it forms an eRAP, since the sums of their prime factors are consecutive (414 and 415).

74400534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 74400534 is about 8625.5744156549. The cubic root of 74400534 is about 420.5897497371.

The spelling of 74400534 in words is "seventy-four million, four hundred thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 59 78 102 117 118 153 177 221 234 306 317 354 442 531 634 663 767 951 1003 1062 1326 1534 1902 1989 2006 2301 2853 3009 3978 4121 4602 5389 5706 6018 6903 8242 9027 10778 12363 13039 13806 16167 18054 18703 24726 26078 32334 37089 37406 39117 48501 56109 70057 74178 78234 97002 112218 117351 140114 168327 210171 234702 243139 317951 336654 420342 486278 630513 635902 729417 953853 1261026 1458834 1907706 2188251 2861559 4133363 4376502 5723118 8266726 12400089 24800178 37200267 74400534