Search a number
-
+
74413440 = 2732512919
BaseRepresentation
bin1000110111101…
…11010110000000
312012000121001100
410123313112000
5123022212230
611214534400
71562334543
oct433672600
9165017040
1074413440
1139005a12
1220b07400
131255562a
149c5085a
1567ed660
hex46f7580

74413440 has 96 divisors (see below), whose sum is σ = 256978800. Its totient is φ = 19842048.

The previous prime is 74413439. The next prime is 74413457. The reversal of 74413440 is 4431447.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 700 + ... + 12219.

Almost surely, 274413440 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 74413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128489400).

74413440 is an abundant number, since it is smaller than the sum of its proper divisors (182565360).

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

74413440 is a wasteful number, since it uses less digits than its factorization.

74413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12944 (or 12929 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 74413440 is about 8626.3225073029. The cubic root of 74413440 is about 420.6140677412.

Adding to 74413440 its reverse (4431447), we get a palindrome (78844887).

The spelling of 74413440 in words is "seventy-four million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 12919 25838 38757 51676 64595 77514 103352 116271 129190 155028 193785 206704 232542 258380 310056 387570 413408 465084 516760 581355 620112 775140 826816 930168 1033520 1162710 1240224 1550280 1653632 1860336 2067040 2325420 2480448 3100560 3720672 4134080 4650840 4960896 6201120 7441344 8268160 9301680 12402240 14882688 18603360 24804480 37206720 74413440