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34455000405 = 3574756312401
BaseRepresentation
bin100000000101101011…
…011001010101010101
310021221020011101001010
4200011223121111111
51031030440003110
623454534122433
72326553446140
oct400553312525
9107836141033
1034455000405
1113680a49851
126816ab0419
133331344507
14194bd9d057
15d69cc9020
hex805ad9555

34455000405 has 64 divisors (see below), whose sum is σ = 64463413248. Its totient is φ = 15387110400.

The previous prime is 34455000367. The next prime is 34455000409. The reversal of 34455000405 is 50400055443.

It is not a de Polignac number, because 34455000405 - 27 = 34455000277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34455000409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2772205 + ... + 2784605.

It is an arithmetic number, because the mean of its divisors is an integer number (1007240832).

Almost surely, 234455000405 is an apocalyptic number.

34455000405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34455000405 is a deficient number, since it is larger than the sum of its proper divisors (30008412843).

34455000405 is a wasteful number, since it uses less digits than its factorization.

34455000405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13026.

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 34455000405 its reverse (50400055443), we get a palindrome (84855055848).

The spelling of 34455000405 in words is "thirty-four billion, four hundred fifty-five million, four hundred five", and thus it is an aban number.

Divisors: 1 3 5 7 15 21 35 47 105 141 235 329 563 705 987 1645 1689 2815 3941 4935 8445 11823 12401 19705 26461 37203 59115 62005 79383 86807 132305 185227 186015 260421 396915 434035 555681 582847 926135 1302105 1748541 2778405 2914235 4079929 6981763 8742705 12239787 20399645 20945289 34908815 48872341 61198935 104726445 146617023 244361705 328142861 733085115 984428583 1640714305 2297000027 4922142915 6891000081 11485000135 34455000405