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3441134100 = 2235241279767
BaseRepresentation
bin1100110100011011…
…1000101000010100
322212211002201120010
43031012320220110
524021412242400
61325243240220
7151163104635
oct31506705024
98784081503
103441134100
111506480a88
12800519070
1342abc8931
1424903788c
15152180450
hexcd1b8a14

3441134100 has 72 divisors (see below), whose sum is σ = 10199222208. Its totient is φ = 895251200.

The previous prime is 3441134089. The next prime is 3441134117. The reversal of 3441134100 is 14311443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127584 + ... + 152183.

It is an arithmetic number, because the mean of its divisors is an integer number (141655864).

Almost surely, 23441134100 is an apocalyptic number.

3441134100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3441134100 is an abundant number, since it is smaller than the sum of its proper divisors (6758088108).

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

3441134100 is a wasteful number, since it uses less digits than its factorization.

3441134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279825 (or 279818 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3441134100 is about 58661.1805199998. The cubic root of 3441134100 is about 1509.7343362578.

Adding to 3441134100 its reverse (14311443), we get a palindrome (3455445543).

The spelling of 3441134100 in words is "three billion, four hundred forty-one million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 279767 559534 839301 1119068 1398835 1678602 2797670 3357204 4196505 5595340 6994175 8393010 11470447 13988350 16786020 20982525 22940894 27976700 34411341 41965050 45881788 57352235 68822682 83930100 114704470 137645364 172056705 229408940 286761175 344113410 573522350 688226820 860283525 1147044700 1720567050 3441134100