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3070230464 = 267172913901
BaseRepresentation
bin1011011011111111…
…1111111111000000
321220222011212102102
42312333333333000
522241434333324
61224353405532
7136040346140
oct26677777700
97828155372
103070230464
111336079654
127182698a8
1339c103c22
14211a88920
1512e817dae
hexb6ffffc0

3070230464 has 112 divisors (see below), whose sum is σ = 7627193280. Its totient is φ = 1195622400.

The previous prime is 3070230439. The next prime is 3070230469. The reversal of 3070230464 is 4640320703.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3070230469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213914 + ... + 227814.

It is an arithmetic number, because the mean of its divisors is an integer number (68099940).

Almost surely, 23070230464 is an apocalyptic number.

3070230464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3070230464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813596640).

3070230464 is an abundant number, since it is smaller than the sum of its proper divisors (4556962816).

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

3070230464 is a wasteful number, since it uses less digits than its factorization.

3070230464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13966 (or 13956 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 3070230464 is about 55409.6603851711. The cubic root of 3070230464 is about 1453.4173008374.

The spelling of 3070230464 in words is "three billion, seventy million, two hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 29 32 34 56 58 64 68 112 116 119 136 203 224 232 238 272 406 448 464 476 493 544 812 928 952 986 1088 1624 1856 1904 1972 3248 3451 3808 3944 6496 6902 7616 7888 12992 13804 13901 15776 27608 27802 31552 55216 55604 97307 110432 111208 194614 220864 222416 236317 389228 403129 444832 472634 778456 806258 889664 945268 1556912 1612516 1654219 1890536 2821903 3113824 3225032 3308438 3781072 5643806 6227648 6450064 6616876 6853193 7562144 11287612 12900128 13233752 13706386 15124288 22575224 25800256 26467504 27412772 45150448 47972351 52935008 54825544 90300896 95944702 105870016 109651088 180601792 191889404 219302176 383778808 438604352 767557616 1535115232 3070230464