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3321398214 = 2322338320947
BaseRepresentation
bin1100010111111000…
…1000001111000110
322120110210111210200
43011332020033012
523300234220324
61305325031330
7145210263501
oct30576101706
98513714720
103321398214
11145492a702
127883b5546
1340c164cb4
1423718a138
151468ccec9
hexc5f883c6

3321398214 has 48 divisors (see below), whose sum is σ = 7529213952. Its totient is φ = 1056181104.

The previous prime is 3321398173. The next prime is 3321398219. The reversal of 3321398214 is 4128931233.

3321398214 is a `hidden beast` number, since 33 + 21 + 398 + 214 = 666.

3321398214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33213982142 = 22063372191924779592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321398219) 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, 148089 + ... + 169035.

It is an arithmetic number, because the mean of its divisors is an integer number (156858624).

Almost surely, 23321398214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3321398214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764606976).

3321398214 is an abundant number, since it is smaller than the sum of its proper divisors (4207815738).

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

3321398214 is a wasteful number, since it uses less digits than its factorization.

3321398214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21361 (or 21358 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 3321398214 is about 57631.5730654647. The cubic root of 3321398214 is about 1492.0165800518.

The spelling of 3321398214 in words is "three billion, three hundred twenty-one million, three hundred ninety-eight thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 383 414 766 1149 2298 3447 6894 8809 17618 20947 26427 41894 52854 62841 79281 125682 158562 188523 377046 481781 963562 1445343 2890686 4336029 8022701 8672058 16045402 24068103 48136206 72204309 144408618 184522123 369044246 553566369 1107132738 1660699107 3321398214