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3105035430 = 2357219111059
BaseRepresentation
bin1011100100010011…
…0001010010100110
322000101200010212020
42321010301102212
522324342113210
61232035404010
7136642236300
oct27104612246
98011603766
103105035430
111353791092
12727a53606
133a639bc93
14216548970
151328e0770
hexb91314a6

3105035430 has 96 divisors (see below), whose sum is σ = 8714926080. Its totient is φ = 705942720.

The previous prime is 3105035413. The next prime is 3105035441. The reversal of 3105035430 is 345305013.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3105035430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275241 + ... + 286299.

It is an arithmetic number, because the mean of its divisors is an integer number (90780480).

Almost surely, 23105035430 is an apocalyptic number.

3105035430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3105035430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357463040).

3105035430 is an abundant number, since it is smaller than the sum of its proper divisors (5609890650).

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

3105035430 is a wasteful number, since it uses less digits than its factorization.

3105035430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11274 (or 11267 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 3105035430 is about 55722.8447766264. The cubic root of 3105035430 is about 1458.8887882318. Note that the first 3 decimals are identical.

The spelling of 3105035430 in words is "three billion, one hundred five million, thirty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 191 210 245 294 382 490 573 735 955 1146 1337 1470 1910 2674 2865 4011 5730 6685 8022 9359 11059 13370 18718 20055 22118 28077 33177 40110 46795 55295 56154 66354 77413 93590 110590 140385 154826 165885 232239 280770 331770 387065 464478 541891 774130 1083782 1161195 1625673 2112269 2322390 2709455 3251346 4224538 5418910 6336807 8128365 10561345 12673614 14785883 16256730 21122690 29571766 31684035 44357649 63368070 73929415 88715298 103501181 147858830 207002362 221788245 310503543 443576490 517505905 621007086 1035011810 1552517715 3105035430