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74494000 = 2453717313
BaseRepresentation
bin1000111000010…
…11000000110000
312012011200120001
410130023000300
5123032302000
611220355344
71563121450
oct434130060
9165150501
1074494000
1139060499
1220b45b54
13125831b9
149c71d60
15681746a
hex470b030

74494000 has 160 divisors (see below), whose sum is σ = 218664576. Its totient is φ = 23961600.

The previous prime is 74493917. The next prime is 74494001. The reversal of 74494000 is 49447.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 74494000.

It is not an unprimeable number, because it can be changed into a prime (74494001) 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, 237844 + ... + 238156.

Almost surely, 274494000 is an apocalyptic number.

74494000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74494000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109332288).

74494000 is an abundant number, since it is smaller than the sum of its proper divisors (144170576).

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

74494000 is a wasteful number, since it uses less digits than its factorization.

74494000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 74494000 is about 8630.9906731499. The cubic root of 74494000 is about 420.7657986149.

It can be divided in two parts, 7449 and 4000, that added together give a square (11449 = 1072).

The spelling of 74494000 in words is "seventy-four million, four hundred ninety-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 25 28 34 35 40 50 56 68 70 80 85 100 112 119 125 136 140 170 175 200 238 250 272 280 313 340 350 400 425 476 500 560 595 626 680 700 850 875 952 1000 1190 1252 1360 1400 1565 1700 1750 1904 2000 2125 2191 2380 2504 2800 2975 3130 3400 3500 4250 4382 4760 5008 5321 5950 6260 6800 7000 7825 8500 8764 9520 10642 10955 11900 12520 14000 14875 15650 17000 17528 21284 21910 23800 25040 26605 29750 31300 34000 35056 37247 39125 42568 43820 47600 53210 54775 59500 62600 74494 78250 85136 87640 106420 109550 119000 125200 133025 148988 156500 175280 186235 212840 219100 238000 266050 273875 297976 313000 372470 425680 438200 532100 547750 595952 626000 665125 744940 876400 931175 1064200 1095500 1330250 1489880 1862350 2128400 2191000 2660500 2979760 3724700 4382000 4655875 5321000 7449400 9311750 10642000 14898800 18623500 37247000 74494000