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3145335020 = 2253113273823
BaseRepresentation
bin1011101101111010…
…0000000011101100
322010012111120111122
42323132200003230
522420201210040
61240035240112
7140641622642
oct27336400354
98105446448
103145335020
111374506833
12739449038
133b183bca9
1421ba39192
151362011b5
hexbb7a00ec

3145335020 has 48 divisors (see below), whose sum is σ = 6825197568. Its totient is φ = 1216313280.

The previous prime is 3145335007. The next prime is 3145335047. The reversal of 3145335020 is 205335413.

3145335020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 820829 + ... + 824651.

It is an arithmetic number, because the mean of its divisors is an integer number (142191616).

Almost surely, 23145335020 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 3145335020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412598784).

3145335020 is an abundant number, since it is smaller than the sum of its proper divisors (3679862548).

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

3145335020 is a wasteful number, since it uses less digits than its factorization.

3145335020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 3145335020 is about 56083.2864586233. The cubic root of 3145335020 is about 1465.1732131428.

The spelling of 3145335020 in words is "three billion, one hundred forty-five million, three hundred thirty-five thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1327 2654 3823 5308 6635 7646 13270 15292 19115 26540 38230 41137 76460 82274 118513 164548 205685 237026 411370 474052 592565 822740 1185130 2370260 5073121 10146242 20292484 25365605 50731210 101462420 157266751 314533502 629067004 786333755 1572667510 3145335020