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3428616444 = 22311136719001
BaseRepresentation
bin1100110001011100…
…1000100011111100
322211221112202120020
43030113020203330
524010211211234
61324115052140
7150651521211
oct31427104374
98757482506
103428616444
1114aa401310
127b82a1050
13428435136
142474d9b08
1515100b549
hexcc5c88fc

3428616444 has 48 divisors (see below), whose sum is σ = 8734231296. Its totient is φ = 1038160000.

The previous prime is 3428616427. The next prime is 3428616467. The reversal of 3428616444 is 4446168243.

3428616444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3428616396 and 3428616405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170944 + ... + 189944.

It is an arithmetic number, because the mean of its divisors is an integer number (181963152).

Almost surely, 23428616444 is an apocalyptic number.

It is an amenable number.

3428616444 is an abundant number, since it is smaller than the sum of its proper divisors (5305614852).

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

3428616444 is a wasteful number, since it uses less digits than its factorization.

3428616444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20386 (or 20384 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 3428616444 is about 58554.3887680505. The cubic root of 3428616444 is about 1507.9014815314.

The spelling of 3428616444 in words is "three billion, four hundred twenty-eight million, six hundred sixteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1367 2734 4101 5468 8202 15037 16404 19001 30074 38002 45111 57003 60148 76004 90222 114006 180444 209011 228012 418022 627033 836044 1254066 2508132 25974367 51948734 77923101 103897468 155846202 285718037 311692404 571436074 857154111 1142872148 1714308222 3428616444