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2034331140 = 2235192377587
BaseRepresentation
bin111100101000001…
…0110111000000100
312020202221201200210
41321100112320010
513131242044030
6533510435420
7101261346402
oct17120267004
95222851623
102034331140
11954366106
12489362b70
1326560784a
14154274472
15bd8e4bb0
hex79416e04

2034331140 has 96 divisors (see below), whose sum is σ = 6256696320. Its totient is φ = 491584896.

The previous prime is 2034331109. The next prime is 2034331141. The reversal of 2034331140 is 411334302.

It is not an unprimeable number, because it can be changed into a prime (2034331141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12574 + ... + 65013.

It is an arithmetic number, because the mean of its divisors is an integer number (65173920).

Almost surely, 22034331140 is an apocalyptic number.

2034331140 is a gapful number since it is divisible by the number (20) 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 2034331140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128348160).

2034331140 is an abundant number, since it is smaller than the sum of its proper divisors (4222365180).

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

2034331140 is a wasteful number, since it uses less digits than its factorization.

2034331140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77641 (or 77639 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2034331140 is about 45103.5601699023. The cubic root of 2034331140 is about 1267.0892771133.

Adding to 2034331140 its reverse (411334302), we get a palindrome (2445665442).

The spelling of 2034331140 in words is "two billion, thirty-four million, three hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 38 46 57 60 69 76 92 95 114 115 138 190 228 230 276 285 345 380 437 460 570 690 874 1140 1311 1380 1748 2185 2622 4370 5244 6555 8740 13110 26220 77587 155174 232761 310348 387935 465522 775870 931044 1163805 1474153 1551740 1784501 2327610 2948306 3569002 4422459 4655220 5353503 5896612 7138004 7370765 8844918 8922505 10707006 14741530 17689836 17845010 21414012 22112295 26767515 29483060 33905519 35690020 44224590 53535030 67811038 88449180 101716557 107070060 135622076 169527595 203433114 339055190 406866228 508582785 678110380 1017165570 2034331140