Search a number
-
+
74041032 = 23313307773
BaseRepresentation
bin1000110100111…
…00011011001000
312011022200012110
410122130123020
5122423303112
611202542320
71556224032
oct432343310
9164280173
1074041032
113888113a
12209679a0
1312454c80
149b94c52
15677813c
hex469c6c8

74041032 has 64 divisors (see below), whose sum is σ = 200249280. Its totient is φ = 22678272.

The previous prime is 74041021. The next prime is 74041049. The reversal of 74041032 is 23014047.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95398 + ... + 96170.

It is an arithmetic number, because the mean of its divisors is an integer number (3128895).

Almost surely, 274041032 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 74041032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100124640).

74041032 is an abundant number, since it is smaller than the sum of its proper divisors (126208248).

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

74041032 is a wasteful number, since it uses less digits than its factorization.

74041032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 74041032 is about 8604.7098730869. The cubic root of 74041032 is about 419.9112284040.

Adding to 74041032 its reverse (23014047), we get a palindrome (97055079).

The spelling of 74041032 in words is "seventy-four million, forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 307 312 614 773 921 1228 1546 1842 2319 2456 3092 3684 3991 4638 6184 7368 7982 9276 10049 11973 15964 18552 20098 23946 30147 31928 40196 47892 60294 80392 95784 120588 237311 241176 474622 711933 949244 1423866 1898488 2847732 3085043 5695464 6170086 9255129 12340172 18510258 24680344 37020516 74041032