Search a number
-
+
24329916 = 22331323143
BaseRepresentation
bin101110011001…
…1111010111100
31200210002101000
41130303322330
522212024131
62225250300
7413541462
oct134637274
950702330
1024329916
1112808476
128193990
13506b200
143334832
152208ce6
hex1733ebc

24329916 has 144 divisors (see below), whose sum is σ = 72145920. Its totient is φ = 7076160.

The previous prime is 24329897. The next prime is 24329923. The reversal of 24329916 is 61992342.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565791 + ... + 565833.

Almost surely, 224329916 is an apocalyptic number.

24329916 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24329916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36072960).

24329916 is an abundant number, since it is smaller than the sum of its proper divisors (47816004).

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

24329916 is a wasteful number, since it uses less digits than its factorization.

24329916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 92 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 24329916 is about 4932.5364671739. The cubic root of 24329916 is about 289.7656291083.

The spelling of 24329916 in words is "twenty-four million, three hundred twenty-nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 43 52 54 62 78 86 93 108 117 124 129 156 169 172 186 234 258 279 338 351 372 387 403 468 507 516 558 559 676 702 774 806 837 1014 1116 1118 1161 1209 1333 1404 1521 1548 1612 1674 1677 2028 2236 2322 2418 2666 3042 3348 3354 3627 3999 4563 4644 4836 5031 5239 5332 6084 6708 7254 7267 7998 9126 10062 10478 10881 11997 14508 14534 15093 15717 15996 17329 18252 20124 20956 21762 21801 23994 29068 30186 31434 34658 35991 43524 43602 47151 47988 51987 60372 62868 65403 69316 71982 87204 94302 103974 130806 141453 143964 155961 188604 196209 207948 225277 261612 282906 311922 392418 450554 467883 565812 623844 675831 784836 901108 935766 1351662 1871532 2027493 2703324 4054986 6082479 8109972 12164958 24329916