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740074000 = 24533773137
BaseRepresentation
bin101100000111001…
…010001000010000
31220120120122200011
4230013022020100
53003424332000
6201234204304
724224345101
oct5407121020
91816518604
10740074000
1134a830606
12187a23694
13ba430813
147040a3a8
1544e8b2ba
hex2c1ca210

740074000 has 160 divisors (see below), whose sum is σ = 1876638816. Its totient is φ = 282009600.

The previous prime is 740073991. The next prime is 740074007. The reversal of 740074000 is 470047.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 301925376 + 438148624 = 17376^2 + 20932^2 .

It is not an unprimeable number, because it can be changed into a prime (740074007) 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, 5401932 + ... + 5402068.

Almost surely, 2740074000 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 740074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938319408).

740074000 is an abundant number, since it is smaller than the sum of its proper divisors (1136564816).

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

740074000 is a wasteful number, since it uses less digits than its factorization.

740074000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 740074000 is about 27204.3011305198. The cubic root of 740074000 is about 904.5343187851.

The spelling of 740074000 in words is "seven hundred forty million, seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 73 74 80 100 125 137 146 148 185 200 250 274 292 296 365 370 400 500 548 584 592 685 730 740 925 1000 1096 1168 1370 1460 1480 1825 1850 2000 2192 2701 2740 2920 2960 3425 3650 3700 4625 5069 5402 5480 5840 6850 7300 7400 9125 9250 10001 10138 10804 10960 13505 13700 14600 14800 17125 18250 18500 20002 20276 21608 25345 27010 27400 29200 34250 36500 37000 40004 40552 43216 50005 50690 54020 54800 67525 68500 73000 74000 80008 81104 100010 101380 108040 126725 135050 137000 146000 160016 200020 202760 216080 250025 253450 270100 274000 337625 370037 400040 405520 500050 506900 540200 633625 675250 740074 800080 1000100 1013800 1080400 1250125 1267250 1350500 1480148 1850185 2000200 2027600 2500250 2534500 2701000 2960296 3700370 4000400 5000500 5069000 5402000 5920592 7400740 9250925 10001000 10138000 14801480 18501850 20002000 29602960 37003700 46254625 74007400 92509250 148014800 185018500 370037000 740074000