Search a number
-
+
3314100020 = 22571117277457
BaseRepresentation
bin1100010110001001…
…0010011100110100
322112222001201120012
43011202102130310
523241402200040
61304504355352
7145061246120
oct30542223464
98488051505
103314100020
1114507a5440
12785a75b58
1340a7ab13a
1423620a580
15145e3a865
hexc5892734

3314100020 has 192 divisors, whose sum is σ = 9240666624. Its totient is φ = 966574080.

The previous prime is 3314099989. The next prime is 3314100059. The reversal of 3314100020 is 200014133.

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 = 3314099968 and 3314100004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7251632 + ... + 7252088.

It is an arithmetic number, because the mean of its divisors is an integer number (48128472).

Almost surely, 23314100020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3314100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4620333312).

3314100020 is an abundant number, since it is smaller than the sum of its proper divisors (5926566604).

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

3314100020 is a wasteful number, since it uses less digits than its factorization.

3314100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3314100020 is about 57568.2205735074. The cubic root of 3314100020 is about 1490.9229631391.

Adding to 3314100020 its reverse (200014133), we get a palindrome (3514114153).

The spelling of 3314100020 in words is "three billion, three hundred fourteen million, one hundred thousand, twenty".