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74035998 = 2333147941
BaseRepresentation
bin1000110100110…
…11001100011110
312011022102022000
410122123030132
5122423122443
611202503130
71556203251
oct432331436
9164272260
1074035998
1138878383
1220964aa6
13124528aa
149b93098
1567768d3
hex469b31e

74035998 has 64 divisors (see below), whose sum is σ = 173629440. Its totient is φ = 23349600.

The previous prime is 74035991. The next prime is 74035999. The reversal of 74035998 is 89953047.

It is a super-3 number, since 3×740359983 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74035991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78208 + ... + 79148.

It is an arithmetic number, because the mean of its divisors is an integer number (2712960).

Almost surely, 274035998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74035998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86814720).

74035998 is an abundant number, since it is smaller than the sum of its proper divisors (99593442).

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

74035998 is a wasteful number, since it uses less digits than its factorization.

74035998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 74035998 is about 8604.4173538945. The cubic root of 74035998 is about 419.9017116943.

The spelling of 74035998 in words is "seventy-four million, thirty-five thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 31 47 54 62 93 94 141 186 279 282 423 558 837 846 941 1269 1457 1674 1882 2538 2823 2914 4371 5646 8469 8742 13113 16938 25407 26226 29171 39339 44227 50814 58342 78678 87513 88454 132681 175026 262539 265362 398043 525078 787617 796086 1194129 1371037 1575234 2388258 2742074 4113111 8226222 12339333 24678666 37017999 74035998