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74120634 = 23272194423
BaseRepresentation
bin1000110101011…
…11110110111010
312011110201101200
410122233312322
5122433330014
611204355030
71560005100
oct432576672
9164421350
1074120634
1138925a25
12209a5a76
1312482283
149bb5c70
156791a09
hex46afdba

74120634 has 72 divisors (see below), whose sum is σ = 196691040. Its totient is φ = 20058192.

The previous prime is 74120633. The next prime is 74120671. The reversal of 74120634 is 43602147.

74120634 is a `hidden beast` number, since 7 + 4 + 1 + 20 + 634 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 74120598 and 74120607.

It is not an unprimeable number, because it can be changed into a prime (74120633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14547 + ... + 18969.

It is an arithmetic number, because the mean of its divisors is an integer number (2731820).

Almost surely, 274120634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74120634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98345520).

74120634 is an abundant number, since it is smaller than the sum of its proper divisors (122570406).

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

74120634 is a wasteful number, since it uses less digits than its factorization.

74120634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464 (or 4454 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 74120634 is about 8609.3341205926. The cubic root of 74120634 is about 420.0616576146.

The spelling of 74120634 in words is "seventy-four million, one hundred twenty thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1862 2394 2793 4423 5586 8379 8846 13269 16758 26538 30961 39807 61922 79614 84037 92883 168074 185766 216727 252111 278649 433454 504222 557298 588259 650181 756333 1176518 1300362 1512666 1764777 1950543 3529554 3901086 4117813 5294331 8235626 10588662 12353439 24706878 37060317 74120634