Search a number
-
+
74161332 = 22347191721
BaseRepresentation
bin1000110101110…
…01110010110100
312011112210020000
410122321302310
5122441130312
611205311300
71560234540
oct432716264
9164483200
1074161332
1138953563
1220a05530
131249795b
149bc6a20
15679dadc
hex46b9cb4

74161332 has 120 divisors (see below), whose sum is σ = 233365440. Its totient is φ = 20062080.

The previous prime is 74161319. The next prime is 74161397. The reversal of 74161332 is 23316147.

74161332 is a `hidden beast` number, since 7 + 41 + 613 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 74161296 and 74161305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42232 + ... + 43952.

It is an arithmetic number, because the mean of its divisors is an integer number (1944712).

Almost surely, 274161332 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 74161332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116682720).

74161332 is an abundant number, since it is smaller than the sum of its proper divisors (159204108).

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

74161332 is a wasteful number, since it uses less digits than its factorization.

74161332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1752 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 74161332 is about 8611.6973936617. The cubic root of 74161332 is about 420.1385257346.

Adding to 74161332 its reverse (23316147), we get a palindrome (97477479).

The spelling of 74161332 in words is "seventy-four million, one hundred sixty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 252 266 324 342 378 399 513 532 567 684 756 798 1026 1134 1197 1539 1596 1721 2052 2268 2394 3078 3442 3591 4788 5163 6156 6884 7182 10326 10773 12047 14364 15489 20652 21546 24094 30978 32699 36141 43092 46467 48188 61956 65398 72282 92934 98097 108423 130796 139401 144564 185868 196194 216846 228893 278802 294291 325269 392388 433692 457786 557604 588582 650538 686679 882873 915572 975807 1177164 1301076 1373358 1765746 1951614 2060037 2648619 2746716 3531492 3903228 4120074 5297238 6180111 8240148 10594476 12360222 18540333 24720444 37080666 74161332