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1200330320 = 245719373049
BaseRepresentation
bin100011110001011…
…1001011001010000
310002122122002122112
41013202321121100
54424241032240
6315035124452
741513432210
oct10742713120
93078562575
101200330320
11566611a32
12295ba3728
131618ab937
14b55b8240
15705a3665
hex478b9650

1200330320 has 160 divisors (see below), whose sum is σ = 3449184000. Its totient is φ = 379219968.

The previous prime is 1200330319. The next prime is 1200330343. The reversal of 1200330320 is 230330021.

It is a super-2 number, since 2×12003303202 = 2881585754222604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1200330295 and 1200330304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392156 + ... + 395204.

It is an arithmetic number, because the mean of its divisors is an integer number (21557400).

Almost surely, 21200330320 is an apocalyptic number.

1200330320 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 1200330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724592000).

1200330320 is an abundant number, since it is smaller than the sum of its proper divisors (2248853680).

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

1200330320 is a wasteful number, since it uses less digits than its factorization.

1200330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 1200330320 is about 34645.7835818444. The cubic root of 1200330320 is about 1062.7560650648.

Adding to 1200330320 its reverse (230330021), we get a palindrome (1430660341).

The spelling of 1200330320 in words is "one billion, two hundred million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 37 38 40 56 70 74 76 80 95 112 133 140 148 152 185 190 259 266 280 296 304 370 380 518 532 560 592 665 703 740 760 1036 1064 1295 1330 1406 1480 1520 2072 2128 2590 2660 2812 2960 3049 3515 4144 4921 5180 5320 5624 6098 7030 9842 10360 10640 11248 12196 14060 15245 19684 20720 21343 24392 24605 28120 30490 39368 42686 48784 49210 56240 57931 60980 78736 85372 98420 106715 112813 115862 121960 170744 196840 213430 225626 231724 243920 289655 341488 393680 405517 426860 451252 463448 564065 579310 789691 811034 853720 902504 926896 1128130 1158620 1579382 1622068 1707440 1805008 2027585 2143447 2256260 2317240 3158764 3244136 3948455 4055170 4286894 4512520 4634480 6317528 6488272 7896910 8110340 8573788 9025040 10717235 12635056 15004129 15793820 16220680 17147576 21434470 30008258 31587640 32441360 34295152 42868940 60016516 63175280 75020645 85737880 120033032 150041290 171475760 240066064 300082580 600165160 1200330320