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1404730440 = 2332510973557
BaseRepresentation
bin101001110111010…
…0111110001001000
310121220020200220100
41103232213301020
510334102333230
6351220125400
746545004011
oct12356476110
93556220810
101404730440
11660a2a853
12332536860
13195046959
14d47c4008
15834cb660
hex53ba7c48

1404730440 has 96 divisors (see below), whose sum is σ = 4570820280. Its totient is φ = 374148096.

The previous prime is 1404730427. The next prime is 1404730447. The reversal of 1404730440 is 440374041.

1404730440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 697276836 + 707453604 = 26406^2 + 26598^2 .

It is not an unprimeable number, because it can be changed into a prime (1404730447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393142 + ... + 396698.

Almost surely, 21404730440 is an apocalyptic number.

1404730440 is a gapful number since it is divisible by the number (10) 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 1404730440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285410140).

1404730440 is an abundant number, since it is smaller than the sum of its proper divisors (3166089840).

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

1404730440 is a wasteful number, since it uses less digits than its factorization.

1404730440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 1404730440 is about 37479.7337237073. The cubic root of 1404730440 is about 1119.9474996649.

The spelling of 1404730440 in words is "one billion, four hundred four million, seven hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1097 2194 3291 3557 4388 5485 6582 7114 8776 9873 10671 10970 13164 14228 16455 17785 19746 21342 21940 26328 28456 32013 32910 35570 39492 42684 43880 49365 53355 64026 65820 71140 78984 85368 98730 106710 128052 131640 142280 160065 197460 213420 256104 320130 394920 426840 640260 1280520 3902029 7804058 11706087 15608116 19510145 23412174 31216232 35118261 39020290 46824348 58530435 70236522 78040580 93648696 117060870 140473044 156081160 175591305 234121740 280946088 351182610 468243480 702365220 1404730440