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3412002100 = 2252137933223
BaseRepresentation
bin1100101101011111…
…0000010100110100
322210210021122222011
43023113300110310
523441433031400
61322323014004
7150360352663
oct31327602464
98723248864
103412002100
1114a0a93751
127b280a304
13424b68a70
14245212dda
1514e8288ba
hexcb5f0534

3412002100 has 72 divisors (see below), whose sum is σ = 8074760960. Its totient is φ = 1243831680.

The previous prime is 3412002071. The next prime is 3412002103. The reversal of 3412002100 is 12002143.

3412002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412002103) 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, 86089 + ... + 119311.

Almost surely, 23412002100 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 3412002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4037380480).

3412002100 is an abundant number, since it is smaller than the sum of its proper divisors (4662758860).

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

3412002100 is a wasteful number, since it uses less digits than its factorization.

3412002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33329 (or 33322 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3412002100 is about 58412.3454416958. The cubic root of 3412002100 is about 1505.4618803620.

Adding to 3412002100 its reverse (12002143), we get a palindrome (3424004243).

The spelling of 3412002100 in words is "three billion, four hundred twelve million, two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 79 100 130 158 260 316 325 395 650 790 1027 1300 1580 1975 2054 3950 4108 5135 7900 10270 20540 25675 33223 51350 66446 102700 132892 166115 332230 431899 664460 830575 863798 1661150 1727596 2159495 2624617 3322300 4318990 5249234 8637980 10498468 10797475 13123085 21594950 26246170 34120021 43189900 52492340 65615425 68240042 131230850 136480084 170600105 262461700 341200210 682400420 853000525 1706001050 3412002100