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4006657434 = 2313311657013
BaseRepresentation
bin1110111011010000…
…1011110110011010
3101100020020021201210
43232310023312122
531201201014214
61501324323550
7201201012003
oct35664136632
911306207653
104006657434
11177672103a
129399a35b6
134bb112a20
142a01a81aa
15186b3cb59
hexeed0bd9a

4006657434 has 32 divisors (see below), whose sum is σ = 8908107264. Its totient is φ = 1193048640.

The previous prime is 4006657411. The next prime is 4006657441. The reversal of 4006657434 is 4347566004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 4006657392 and 4006657401.

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 15 ways as a sum of consecutive naturals, for example, 826089 + ... + 830924.

It is an arithmetic number, because the mean of its divisors is an integer number (278378352).

Almost surely, 24006657434 is an apocalyptic number.

4006657434 is an abundant number, since it is smaller than the sum of its proper divisors (4901449830).

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

4006657434 is a wasteful number, since it uses less digits than its factorization.

4006657434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657062.

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 4006657434 is about 63298.1629591254. The cubic root of 4006657434 is about 1588.2812319815.

The spelling of 4006657434 in words is "four billion, six million, six hundred fifty-seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 1209 2418 1657013 3314026 4971039 9942078 21541169 43082338 51367403 64623507 102734806 129247014 154102209 308204418 667776239 1335552478 2003328717 4006657434