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3041261000 = 235343107661
BaseRepresentation
bin1011010101000101…
…1111010111001000
321211221200001210022
42311101133113020
522212030323000
61221440440012
7135236202101
oct26521372710
97757601708
103041261000
111320792448
1270a619008
1339610002b
1420bca73a8
1512bee4585
hexb545f5c8

3041261000 has 128 divisors (see below), whose sum is σ = 7361228160. Its totient is φ = 1175328000.

The previous prime is 3041260987. The next prime is 3041261029. The reversal of 3041261000 is 1621403.

It is a self number, because there is not a number n which added to its sum of digits gives 3041261000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4600670 + ... + 4601330.

It is an arithmetic number, because the mean of its divisors is an integer number (57509595).

Almost surely, 23041261000 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 3041261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680614080).

3041261000 is an abundant number, since it is smaller than the sum of its proper divisors (4319967160).

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

3041261000 is a wasteful number, since it uses less digits than its factorization.

3041261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3041261000 is about 55147.6291421490. The cubic root of 3041261000 is about 1448.8315596902.

Adding to 3041261000 its reverse (1621403), we get a palindrome (3042882403).

The spelling of 3041261000 in words is "three billion, forty-one million, two hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 107 125 172 200 214 215 250 344 428 430 500 535 661 856 860 1000 1070 1075 1322 1720 2140 2150 2644 2675 3305 4280 4300 4601 5288 5350 5375 6610 8600 9202 10700 10750 13220 13375 16525 18404 21400 21500 23005 26440 26750 28423 33050 36808 43000 46010 53500 56846 66100 70727 82625 92020 107000 113692 115025 132200 141454 142115 165250 184040 227384 230050 282908 284230 330500 353635 460100 565816 568460 575125 661000 707270 710575 920200 1136920 1150250 1414540 1421150 1768175 2300500 2829080 2842300 3041261 3536350 3552875 4601000 5684600 6082522 7072700 7105750 8840875 12165044 14145400 14211500 15206305 17681750 24330088 28423000 30412610 35363500 60825220 70727000 76031525 121650440 152063050 304126100 380157625 608252200 760315250 1520630500 3041261000