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3240201000 = 233533729191
BaseRepresentation
bin1100000100100001…
…1000101100101000
322100211000021011110
43001020120230220
523113442413000
61253304430320
7143203153101
oct30110305450
98324007143
103240201000
111413010a73
127651783a0
133c83a59ca
1422a4913a8
1513e6de850
hexc1218b28

3240201000 has 128 divisors (see below), whose sum is σ = 10383010560. Its totient is φ = 840672000.

The previous prime is 3240200993. The next prime is 3240201007. The reversal of 3240201000 is 1020423.

It is an interprime number because it is at equal distance from previous prime (3240200993) and next prime (3240201007).

It is a super-3 number, since 3×32402010003 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3240201007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96405 + ... + 125595.

It is an arithmetic number, because the mean of its divisors is an integer number (81117270).

Almost surely, 23240201000 is an apocalyptic number.

3240201000 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 3240201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5191505280).

3240201000 is an abundant number, since it is smaller than the sum of its proper divisors (7142809560).

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

3240201000 is a wasteful number, since it uses less digits than its factorization.

3240201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29252 (or 29238 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3240201000 is about 56922.7634606754. The cubic root of 3240201000 is about 1479.7578432635.

Adding to 3240201000 its reverse (1020423), we get a palindrome (3241221423).

The spelling of 3240201000 in words is "three billion, two hundred forty million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 13875 18500 22200 27750 29191 37000 55500 58382 87573 111000 116764 145955 175146 233528 291910 350292 437865 583820 700584 729775 875730 1080067 1167640 1459550 1751460 2160134 2189325 2919100 3240201 3502920 3648875 4320268 4378650 5400335 5838200 6480402 7297750 8640536 8757300 10800670 10946625 12960804 14595500 16201005 17514600 21601340 21893250 25921608 27001675 29191000 32402010 43202680 43786500 54003350 64804020 81005025 87573000 108006700 129608040 135008375 162010050 216013400 270016750 324020100 405025125 540033500 648040200 810050250 1080067000 1620100500 3240201000