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3468460506 = 23782582393
BaseRepresentation
bin1100111010111100…
…1000000111011010
322221201112001100020
43032233020013122
524100411214011
61332101051310
7151644266520
oct31657100732
98851461306
103468460506
11151a945795
128096b6b36
134337759c4
1424c90c310
1515477c006
hexcebc81da

3468460506 has 16 divisors (see below), whose sum is σ = 7927909824. Its totient is φ = 990988704.

The previous prime is 3468460481. The next prime is 3468460511. The reversal of 3468460506 is 6050648643.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 82582393 = 3468460506 / (3 + 4 + 6 + 8 + 4 + 6 + 0 + 5 + 0 + 6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41291155 + ... + 41291238.

It is an arithmetic number, because the mean of its divisors is an integer number (495494364).

Almost surely, 23468460506 is an apocalyptic number.

3468460506 is an abundant number, since it is smaller than the sum of its proper divisors (4459449318).

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

3468460506 is a wasteful number, since it uses less digits than its factorization.

3468460506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82582405.

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 3468460506 is about 58893.6372284817. The cubic root of 3468460506 is about 1513.7201237363.

The spelling of 3468460506 in words is "three billion, four hundred sixty-eight million, four hundred sixty thousand, five hundred six".

Divisors: 1 2 3 6 7 14 21 42 82582393 165164786 247747179 495494358 578076751 1156153502 1734230253 3468460506