Search a number
-
+
3240021120 = 27357234439
BaseRepresentation
bin1100000100011110…
…1100110010000000
322100210200010102020
43001013230302000
523113421133440
61253300521440
7143201503500
oct30107546200
98323603366
103240021120
1114129a8906
127650b0280
133c8341b7b
1422a445a00
1513e6a63d0
hexc11ecc80

3240021120 has 192 divisors, whose sum is σ = 12014049600. Its totient is φ = 740554752.

The previous prime is 3240021107. The next prime is 3240021121. The reversal of 3240021120 is 211200423.

It is a tau number, because it is divible by the number of its divisors (192).

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 3240021120.

It is not an unprimeable number, because it can be changed into a prime (3240021121) 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, 76861 + ... + 111299.

It is an arithmetic number, because the mean of its divisors is an integer number (62573175).

Almost surely, 23240021120 is an apocalyptic number.

3240021120 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 3240021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007024800).

3240021120 is an abundant number, since it is smaller than the sum of its proper divisors (8774028480).

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

3240021120 is a wasteful number, since it uses less digits than its factorization.

3240021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34475 (or 34456 counting only the distinct ones).

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

The square root of 3240021120 is about 56921.1834030179. The cubic root of 3240021120 is about 1479.7304598011.

Adding to 3240021120 its reverse (211200423), we get a palindrome (3451221543).

The spelling of 3240021120 in words is "three billion, two hundred forty million, twenty-one thousand, one hundred twenty".