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3013031034 = 234132167659
BaseRepresentation
bin1011001110010111…
…0011010001111010
321202222112211120000
42303211303101322
522132313443114
61214551413430
7134444225016
oct26345632172
97688484500
103013031034
1113068608a2
12701084276
133902c7900
14208239546
151297b9e09
hexb397347a

3013031034 has 120 divisors (see below), whose sum is σ = 7365647520. Its totient is φ = 920136672.

The previous prime is 3013031033. The next prime is 3013031051. The reversal of 3013031034 is 4301303103.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3013030998 and 3013031016.

It is not an unprimeable number, because it can be changed into a prime (3013031033) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4571797 + ... + 4572455.

It is an arithmetic number, because the mean of its divisors is an integer number (61380396).

Almost surely, 23013031034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013031034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682823760).

3013031034 is an abundant number, since it is smaller than the sum of its proper divisors (4352616486).

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

3013031034 is a wasteful number, since it uses less digits than its factorization.

3013031034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3013031034 is about 54891.0833742603. The cubic root of 3013031034 is about 1444.3347766368.

Adding to 3013031034 its reverse (4301303103), we get a palindrome (7314334137).

The spelling of 3013031034 in words is "three billion, thirteen million, thirty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 167 169 234 334 338 351 501 507 659 702 1002 1014 1053 1318 1503 1521 1977 2106 2171 3006 3042 3954 4342 4509 4563 5931 6513 8567 9018 9126 11862 13026 13527 13689 17134 17793 19539 25701 27054 27378 28223 35586 39078 51402 53379 56446 58617 77103 84669 106758 110053 111371 117234 154206 169338 175851 220106 222742 231309 254007 330159 334113 351702 462618 508014 660318 668226 693927 762021 990477 1002339 1387854 1430689 1524042 1980954 2004678 2286063 2861378 2971431 3007017 4292067 4572126 5942862 6014034 8584134 8914293 9021051 12876201 17828586 18042102 18598957 25752402 37197914 38628603 55796871 77257206 111593742 115885809 167390613 231771618 334781226 502171839 1004343678 1506515517 3013031034