Search a number
-
+
74977344 = 263213171931
BaseRepresentation
bin1000111100000…
…01000001000000
312020002020120200
410132001001000
5123143233334
611235005200
71600203561
oct436010100
9166066520
1074977344
1139360652
1221139800
13126c21c0
149d5a168
1568b0799
hex4781040

74977344 has 336 divisors, whose sum is σ = 266273280. Its totient is φ = 19906560.

The previous prime is 74977339. The next prime is 74977367. The reversal of 74977344 is 44377947.

It is a super-2 number, since 2×749773442 = 11243204226588672, which contains 22 as substring.

Its product of digits (592704) is a multiple of the sum of its prime factors (98).

It is a self number, because there is not a number n which added to its sum of digits gives 74977344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2418609 + ... + 2418639.

It is an arithmetic number, because the mean of its divisors is an integer number (792480).

Almost surely, 274977344 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 74977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133136640).

74977344 is an abundant number, since it is smaller than the sum of its proper divisors (191295936).

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

74977344 is a wasteful number, since it uses less digits than its factorization.

74977344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 74977344 is about 8658.9458942760. The cubic root of 74977344 is about 421.6738643511.

It can be divided in two parts, 7497 and 7344, that added together give a palindrome (14841).

The spelling of 74977344 in words is "seventy-four million, nine hundred seventy-seven thousand, three hundred forty-four".