Search a number
-
+
74280320 = 275277419
BaseRepresentation
bin1000110110101…
…10110110000000
312011202211102222
410123112312000
5123003432240
611212030212
71561241462
oct433266600
9164684388
1074280320
1138a249a4
1220a62368
1312509b6a
149c18132
1567c3eb5
hex46d6d80

74280320 has 64 divisors (see below), whose sum is σ = 178642800. Its totient is φ = 29534208.

The previous prime is 74280319. The next prime is 74280337. The reversal of 74280320 is 2308247.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 74280320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177071 + ... + 177489.

Almost surely, 274280320 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 74280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89321400).

74280320 is an abundant number, since it is smaller than the sum of its proper divisors (104362480).

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

74280320 is a wasteful number, since it uses less digits than its factorization.

74280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 74280320 is about 8618.6031350794. The cubic root of 74280320 is about 420.3631024744.

Adding to 74280320 its reverse (2308247), we get a palindrome (76588567).

The spelling of 74280320 in words is "seventy-four million, two hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 277 320 419 554 640 838 1108 1385 1676 2095 2216 2770 3352 4190 4432 5540 6704 8380 8864 11080 13408 16760 17728 22160 26816 33520 35456 44320 53632 67040 88640 116063 134080 177280 232126 268160 464252 580315 928504 1160630 1857008 2321260 3714016 4642520 7428032 9285040 14856064 18570080 37140160 74280320