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3434642365 = 571131417019
BaseRepresentation
bin1100110010111000…
…0111101110111101
322212100212220120111
43030232013232331
524013232023430
61324452150021
7151053656410
oct31456075675
98770786514
103434642365
111502847710
127ba308311
13429764b7b
14248227b77
151517ebc2a
hexccb87bbd

3434642365 has 64 divisors (see below), whose sum is σ = 5434490880. Its totient is φ = 2021184000.

The previous prime is 3434642363. The next prime is 3434642381. The reversal of 3434642365 is 5632464343.

It is a happy number.

It is not a de Polignac number, because 3434642365 - 21 = 3434642363 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434642363) 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, 485826 + ... + 492844.

It is an arithmetic number, because the mean of its divisors is an integer number (84913920).

Almost surely, 23434642365 is an apocalyptic number.

3434642365 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3434642365 is a deficient number, since it is larger than the sum of its proper divisors (1999848515).

3434642365 is a wasteful number, since it uses less digits than its factorization.

3434642365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7114.

The product of its digits is 622080, while the sum is 40.

The square root of 3434642365 is about 58605.8219377563. The cubic root of 3434642365 is about 1508.7843621587.

The spelling of 3434642365 in words is "three billion, four hundred thirty-four million, six hundred forty-two thousand, three hundred sixty-five".

Divisors: 1 5 7 11 31 35 41 55 77 155 205 217 287 341 385 451 1085 1271 1435 1705 2255 2387 3157 6355 7019 8897 11935 13981 15785 35095 44485 49133 69905 77209 97867 217589 245665 287779 386045 489335 540463 1087945 1438895 1523123 2014453 2393479 2702315 3165569 7615615 8921149 10072265 11967395 15827845 16754353 22158983 44605745 62448043 83771765 98132639 110794915 312240215 490663195 686928473 3434642365