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74734144 = 2619411499
BaseRepresentation
bin1000111010001…
…01101001000000
312012121212222021
410131011221000
5123112443034
611225451224
71565141542
oct435055100
9165555867
1074734144
1139204961
1221040b14
13126385b4
149cd5692
1568636b4
hex4745a40

74734144 has 56 divisors (see below), whose sum is σ = 160020000. Its totient is φ = 34513920.

The previous prime is 74734141. The next prime is 74734147. The reversal of 74734144 is 44143747.

It is an interprime number because it is at equal distance from previous prime (74734141) and next prime (74734147).

It is not an unprimeable number, because it can be changed into a prime (74734141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49107 + ... + 50605.

It is an arithmetic number, because the mean of its divisors is an integer number (2857500).

Almost surely, 274734144 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 74734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80010000).

74734144 is an abundant number, since it is smaller than the sum of its proper divisors (85285856).

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

74734144 is a wasteful number, since it uses less digits than its factorization.

74734144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1561 counting only the distinct ones).

The product of its digits is 37632, while the sum is 34.

The square root of 74734144 is about 8644.8912081067. The cubic root of 74734144 is about 421.2174501936.

The spelling of 74734144 in words is "seventy-four million, seven hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 152 164 304 328 608 656 779 1216 1312 1499 1558 2624 2998 3116 5996 6232 11992 12464 23984 24928 28481 47968 49856 56962 61459 95936 113924 122918 227848 245836 455696 491672 911392 983344 1167721 1822784 1966688 2335442 3933376 4670884 9341768 18683536 37367072 74734144