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74043216 = 243213371069
BaseRepresentation
bin1000110100111…
…00111101010000
312011022210012100
410122130331100
5122423340331
611203000400
71556233302
oct432347520
9164283170
1074043216
1138882845
1220969100
1312455c70
149b95972
156778ae6
hex469cf50

74043216 has 120 divisors (see below), whose sum is σ = 229403720. Its totient is φ = 22146048.

The previous prime is 74043199. The next prime is 74043217. The reversal of 74043216 is 61234047.

It can be written as a sum of positive squares in 4 ways, for example, as 11696400 + 62346816 = 3420^2 + 7896^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 74043216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74043217) 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 23 ways as a sum of consecutive naturals, for example, 68730 + ... + 69798.

Almost surely, 274043216 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 74043216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114701860).

74043216 is an abundant number, since it is smaller than the sum of its proper divisors (155360504).

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

74043216 is a wasteful number, since it uses less digits than its factorization.

74043216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 74043216 is about 8604.8367793933. The cubic root of 74043216 is about 419.9153570927.

It can be divided in two parts, 740 and 43216, that added together give a triangular number (43956 = T296).

The spelling of 74043216 in words is "seventy-four million, forty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 37 39 48 52 72 74 78 104 111 117 144 148 156 208 222 234 296 312 333 444 468 481 592 624 666 888 936 962 1069 1332 1443 1776 1872 1924 2138 2664 2886 3207 3848 4276 4329 5328 5772 6414 7696 8552 8658 9621 11544 12828 13897 17104 17316 19242 23088 25656 27794 34632 38484 39553 41691 51312 55588 69264 76968 79106 83382 111176 118659 125073 153936 158212 166764 222352 237318 250146 316424 333528 355977 474636 500292 514189 632848 667056 711954 949272 1000584 1028378 1423908 1542567 1898544 2001168 2056756 2847816 3085134 4113512 4627701 5695632 6170268 8227024 9255402 12340536 18510804 24681072 37021608 74043216