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3056441364 = 223510330529
BaseRepresentation
bin1011011000101101…
…1001100000010100
321220000020022100000
42312023121200110
522224422110424
61223142051300
7135512215524
oct26613314024
97800208300
103056441364
1113293106a9
12713719b30
133992b67b2
1420dcd9684
1512d4e23c9
hexb62d9814

3056441364 has 72 divisors (see below), whose sum is σ = 8090205760. Its totient is φ = 1008889344.

The previous prime is 3056441357. The next prime is 3056441371. The reversal of 3056441364 is 4631446503.

3056441364 is a `hidden beast` number, since 3 + 0 + 5 + 644 + 1 + 3 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3056441357) and next prime (3056441371).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84852 + ... + 115380.

Almost surely, 23056441364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3056441364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045102880).

3056441364 is an abundant number, since it is smaller than the sum of its proper divisors (5033764396).

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

3056441364 is a wasteful number, since it uses less digits than its factorization.

3056441364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30651 (or 30637 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3056441364 is about 55285.0916974911. The cubic root of 3056441364 is about 1451.2381598697.

Adding to 3056441364 its reverse (4631446503), we get a palindrome (7687887867).

The spelling of 3056441364 in words is "three billion, fifty-six million, four hundred forty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 162 206 243 309 324 412 486 618 927 972 1236 1854 2781 3708 5562 8343 11124 16686 25029 30529 33372 50058 61058 91587 100116 122116 183174 274761 366348 549522 824283 1099044 1648566 2472849 3144487 3297132 4945698 6288974 7418547 9433461 9891396 12577948 14837094 18866922 28300383 29674188 37733844 56600766 84901149 113201532 169802298 254703447 339604596 509406894 764110341 1018813788 1528220682 3056441364