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74077416 = 2334722333
BaseRepresentation
bin1000110101001…
…01010011101000
312011101112010000
410122211103220
5122430434131
611203423000
71556435100
oct432452350
9164345100
1074077416
11388a6506
1220984a60
13124686ba
149ba4200
156783ce6
hex46a54e8

74077416 has 120 divisors (see below), whose sum is σ = 241463970. Its totient is φ = 21155904.

The previous prime is 74077387. The next prime is 74077477. The reversal of 74077416 is 61477047.

It can be written as a sum of positive squares in only one way, i.e., 67076100 + 7001316 = 8190^2 + 2646^2 .

It is a super-2 number, since 2×740774162 = 10974927122474112, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30586 + ... + 32918.

Almost surely, 274077416 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 74077416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120731985).

74077416 is an abundant number, since it is smaller than the sum of its proper divisors (167386554).

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

74077416 is a wasteful number, since it uses less digits than its factorization.

74077416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 74077416 is about 8606.8238044008. The cubic root of 74077416 is about 419.9799990475.

The spelling of 74077416 in words is "seventy-four million, seventy-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2268 2333 2646 3528 3969 4536 4666 5292 6999 7938 9332 10584 13998 15876 16331 18664 20997 27996 31752 32662 41994 48993 55992 62991 65324 83988 97986 114317 125982 130648 146979 167976 188973 195972 228634 251964 293958 342951 377946 391944 440937 457268 503928 587916 685902 755892 881874 914536 1028853 1175832 1322811 1371804 1511784 1763748 2057706 2645622 2743608 3086559 3527496 4115412 5291244 6173118 8230824 9259677 10582488 12346236 18519354 24692472 37038708 74077416