Search a number
-
+
74010336 = 253472349
BaseRepresentation
bin1000110100101…
…00111011100000
312011021010002120
410122110323200
5122421312321
611202144240
71556035401
oct432247340
9164233076
1074010336
1138860074
1220952080
1312443cca
149b879a8
15676dec6
hex4694ee0

74010336 has 72 divisors (see below), whose sum is σ = 199067400. Its totient is φ = 24076032.

The previous prime is 74010331. The next prime is 74010337. The reversal of 74010336 is 63301047.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74010331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211890 + ... + 212238.

It is an arithmetic number, because the mean of its divisors is an integer number (2764825).

Almost surely, 274010336 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 74010336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99533700).

74010336 is an abundant number, since it is smaller than the sum of its proper divisors (125057064).

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

74010336 is a wasteful number, since it uses less digits than its factorization.

74010336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 74010336 is about 8602.9260138630. The cubic root of 74010336 is about 419.8531913202.

The spelling of 74010336 in words is "seventy-four million, ten thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 349 376 564 698 752 1047 1128 1396 1504 2094 2209 2256 2792 4188 4418 4512 5584 6627 8376 8836 11168 13254 16403 16752 17672 26508 32806 33504 35344 49209 53016 65612 70688 98418 106032 131224 196836 212064 262448 393672 524896 770941 787344 1541882 1574688 2312823 3083764 4625646 6167528 9251292 12335056 18502584 24670112 37005168 74010336