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3414043100 = 22521314931759
BaseRepresentation
bin1100101101111110…
…0010100111011100
322210221010100200202
43023133202213130
523442443334400
61322434443032
7150413613266
oct31337424734
98727110622
103414043100
1114a2158126
127b3433478
13425401a60
142455c4b36
1514eacd4d5
hexcb7e29dc

3414043100 has 72 divisors (see below), whose sum is σ = 7988238720. Its totient is φ = 1259009280.

The previous prime is 3414043097. The next prime is 3414043133. The reversal of 3414043100 is 13404143.

It is a happy number.

It is a super-2 number, since 2×34140431002 = 23311380577315220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1940021 + ... + 1941779.

It is an arithmetic number, because the mean of its divisors is an integer number (110947760).

Almost surely, 23414043100 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 3414043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994119360).

3414043100 is an abundant number, since it is smaller than the sum of its proper divisors (4574195620).

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

3414043100 is a wasteful number, since it uses less digits than its factorization.

3414043100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3414043100 is about 58429.8134516960. The cubic root of 3414043100 is about 1505.7620008527.

Adding to 3414043100 its reverse (13404143), we get a palindrome (3427447243).

It can be divided in two parts, 3414043 and 100, that added together give a palindrome (3414143).

The spelling of 3414043100 in words is "three billion, four hundred fourteen million, forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1493 1759 2986 3518 5972 7036 7465 8795 14930 17590 19409 22867 29860 35180 37325 38818 43975 45734 74650 77636 87950 91468 97045 114335 149300 175900 194090 228670 388180 457340 485225 571675 970450 1143350 1940900 2286700 2626187 5252374 10504748 13130935 26261870 34140431 52523740 65654675 68280862 131309350 136561724 170702155 262618700 341404310 682808620 853510775 1707021550 3414043100