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3408782436 = 2232234116887
BaseRepresentation
bin1100101100101101…
…1110010001100100
322210120020002102100
43023023132101210
523440122014221
61322130012100
7150321113133
oct31313362144
98716202370
103408782436
11149a194774
127b1717030
134242ac437
14244a1591a
1514e3de926
hexcb2de464

3408782436 has 36 divisors (see below), whose sum is σ = 8991283392. Its totient is φ = 1086857904.

The previous prime is 3408782417. The next prime is 3408782441. The reversal of 3408782436 is 6342878043.

3408782436 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3408782391 and 3408782400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2057616 + ... + 2059271.

It is an arithmetic number, because the mean of its divisors is an integer number (249757872).

Almost surely, 23408782436 is an apocalyptic number.

3408782436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3408782436 is an abundant number, since it is smaller than the sum of its proper divisors (5582500956).

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

3408782436 is a wasteful number, since it uses less digits than its factorization.

3408782436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116920 (or 4116915 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3408782436 is about 58384.7791466235. The cubic root of 3408782436 is about 1504.9881988604.

The spelling of 3408782436 in words is "three billion, four hundred eight million, seven hundred eighty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 4116887 8233774 12350661 16467548 24701322 37051983 49402644 74103966 94688401 148207932 189376802 284065203 378753604 568130406 852195609 1136260812 1704391218 3408782436