Search a number
-
+
74455380 = 22325616781
BaseRepresentation
bin1000111000000…
…01100101010100
312012002201120200
410130001211110
5123030033010
611215500500
71562601036
oct434014524
9165081520
1074455380
113903447a
1220b27730
131256b74c
149c61c56
15680acc0
hex4701954

74455380 has 72 divisors (see below), whose sum is σ = 229584264. Its totient is φ = 19526400.

The previous prime is 74455363. The next prime is 74455387. The reversal of 74455380 is 8355447.

It can be written as a sum of positive squares in 4 ways, for example, as 12996 + 74442384 = 114^2 + 8628^2 .

It is a super-2 number, since 2×744553802 = 11087207221888800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74455387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7590 + ... + 14370.

Almost surely, 274455380 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 74455380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114792132).

74455380 is an abundant number, since it is smaller than the sum of its proper divisors (155128884).

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

74455380 is a wasteful number, since it uses less digits than its factorization.

74455380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6857 (or 6852 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 74455380 is about 8628.7530964792. The cubic root of 74455380 is about 420.6930733659.

The spelling of 74455380 in words is "seventy-four million, four hundred fifty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 6781 10980 13562 20343 27124 33905 40686 61029 67810 81372 101715 122058 135620 203430 244116 305145 406860 413641 610290 827282 1220580 1240923 1654564 2068205 2481846 3722769 4136410 4963692 6204615 7445538 8272820 12409230 14891076 18613845 24818460 37227690 74455380