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3200042400 = 253529371423
BaseRepresentation
bin1011111010111100…
…1100010110100000
322021000102222220220
42332233030112200
523023202324100
61245312003040
7142204624452
oct27657142640
98230388826
103200042400
1113a2382245
12753830480
133bcc84c19
14224dda2d2
1513ae0aaa0
hexbebcc5a0

3200042400 has 144 divisors (see below), whose sum is σ = 10434582144. Its totient is φ = 851834880.

The previous prime is 3200042389. The next prime is 3200042401. The reversal of 3200042400 is 42400023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3200042400.

It is not an unprimeable number, because it can be changed into a prime (3200042401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2248089 + ... + 2249511.

It is an arithmetic number, because the mean of its divisors is an integer number (72462376).

Almost surely, 23200042400 is an apocalyptic number.

3200042400 is a gapful number since it is divisible by the number (30) 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 3200042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217291072).

3200042400 is an abundant number, since it is smaller than the sum of its proper divisors (7234539744).

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

3200042400 is a wasteful number, since it uses less digits than its factorization.

3200042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3200042400 is about 56568.9172602764. The cubic root of 3200042400 is about 1473.6191078831.

Adding to 3200042400 its reverse (42400023), we get a palindrome (3242442423).

The spelling of 3200042400 in words is "three billion, two hundred million, forty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 937 1200 1423 1874 2400 2811 2846 3748 4269 4685 5622 5692 7115 7496 8538 9370 11244 11384 14055 14230 14992 17076 18740 21345 22488 22768 23425 28110 28460 29984 34152 35575 37480 42690 44976 45536 46850 56220 56920 68304 70275 71150 74960 85380 89952 93700 106725 112440 113840 136608 140550 142300 149920 170760 187400 213450 224880 227680 281100 284600 341520 374800 426900 449760 562200 569200 683040 749600 853800 1124400 1138400 1333351 1707600 2248800 2666702 3415200 4000053 5333404 6666755 8000106 10666808 13333510 16000212 20000265 21333616 26667020 32000424 33333775 40000530 42667232 53334040 64000848 66667550 80001060 100001325 106668080 128001696 133335100 160002120 200002650 213336160 266670200 320004240 400005300 533340400 640008480 800010600 1066680800 1600021200 3200042400