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74239360 = 275138923
BaseRepresentation
bin1000110110011…
…00110110000000
312011200202020221
410123030312000
5123001124420
611211112424
71561011166
oct433146600
9164622227
1074239360
11389a7148
1220a42714
13124c4320
149c07236
1567b6caa
hex46ccd80

74239360 has 64 divisors (see below), whose sum is σ = 191152080. Its totient is φ = 27408384.

The previous prime is 74239351. The next prime is 74239369. The reversal of 74239360 is 6393247.

It is an interprime number because it is at equal distance from previous prime (74239351) and next prime (74239369).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×742393602 = 11022965146419200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74239369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3859 + ... + 12781.

Almost surely, 274239360 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 74239360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95576040).

74239360 is an abundant number, since it is smaller than the sum of its proper divisors (116912720).

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

74239360 is a wasteful number, since it uses less digits than its factorization.

74239360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8955 (or 8943 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 74239360 is about 8616.2265522675. The cubic root of 74239360 is about 420.2858220746.

The spelling of 74239360 in words is "seventy-four million, two hundred thirty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 8923 17846 35692 44615 71384 89230 115999 142768 178460 231998 285536 356920 463996 571072 579995 713840 927992 1142144 1159990 1427680 1855984 2319980 2855360 3711968 4639960 5710720 7423936 9279920 14847872 18559840 37119680 74239360