Search a number
-
+
3240212100 = 2235237833517
BaseRepresentation
bin1100000100100001…
…1011011010000100
322100211000211101120
43001020123122010
523113443241400
61253304553540
7143203230336
oct30110333204
98324024346
103240212100
111413019344
127651828b0
133c83aaa88
1422a495456
1513e6e2ca0
hexc121b684

3240212100 has 144 divisors (see below), whose sum is σ = 9747167808. Its totient is φ = 830338560.

The previous prime is 3240212099. The next prime is 3240212113. The reversal of 3240212100 is 12120423.

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 3240212100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 919542 + ... + 923058.

Almost surely, 23240212100 is an apocalyptic number.

3240212100 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 3240212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873583904).

3240212100 is an abundant number, since it is smaller than the sum of its proper divisors (6506955708).

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

3240212100 is a wasteful number, since it uses less digits than its factorization.

3240212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3240212100 is about 56922.8609611288. The cubic root of 3240212100 is about 1479.7595330037.

Adding to 3240212100 its reverse (12120423), we get a palindrome (3252332523).

The spelling of 3240212100 in words is "three billion, two hundred forty million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 83 100 111 148 150 166 185 222 249 300 332 370 415 444 498 555 740 830 925 996 1110 1245 1660 1850 2075 2220 2490 2775 3071 3517 3700 4150 4980 5550 6142 6225 7034 8300 9213 10551 11100 12284 12450 14068 15355 17585 18426 21102 24900 30710 35170 36852 42204 46065 52755 61420 70340 76775 87925 92130 105510 130129 153550 175850 184260 211020 230325 260258 263775 291911 307100 351700 390387 460650 520516 527550 583822 650645 780774 875733 921300 1055100 1167644 1301290 1459555 1561548 1751466 1951935 2602580 2919110 3253225 3502932 3903870 4378665 5838220 6506450 7297775 7807740 8757330 9759675 10800707 13012900 14595550 17514660 19519350 21601414 21893325 29191100 32402121 39038700 43202828 43786650 54003535 64804242 87573300 108007070 129608484 162010605 216014140 270017675 324021210 540035350 648042420 810053025 1080070700 1620106050 3240212100