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3445100000 = 255547733
BaseRepresentation
bin1100110101011000…
…0000110111100000
322220002120012202022
43031112000313200
524023421200000
61325504241012
7151241603216
oct31526006740
98802505668
103445100000
11150873a691
12801910168
1342b986b14
1424978acb6
151526b5585
hexcd580de0

3445100000 has 144 divisors (see below), whose sum is σ = 8669820096. Its totient is φ = 1346880000.

The previous prime is 3445099993. The next prime is 3445100003. The reversal of 3445100000 is 15443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3445100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4699634 + ... + 4700366.

It is an arithmetic number, because the mean of its divisors is an integer number (60207084).

Almost surely, 23445100000 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 3445100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334910048).

3445100000 is an abundant number, since it is smaller than the sum of its proper divisors (5224720096).

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

3445100000 is an frugal number, since it uses more digits than its factorization.

3445100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 3445100000 is about 58694.9742311895. The cubic root of 3445100000 is about 1510.3141021649.

Adding to 3445100000 its reverse (15443), we get a palindrome (3445115443).

The spelling of 3445100000 in words is "three billion, four hundred forty-five million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 376 400 470 500 625 733 752 800 940 1000 1175 1250 1466 1504 1880 2000 2350 2500 2932 3125 3665 3760 4000 4700 5000 5864 5875 6250 7330 7520 9400 10000 11728 11750 12500 14660 18325 18800 20000 23456 23500 25000 29320 29375 34451 36650 37600 47000 50000 58640 58750 68902 73300 91625 94000 100000 117280 117500 137804 146600 146875 172255 183250 188000 235000 275608 293200 293750 344510 366500 458125 470000 551216 586400 587500 689020 733000 861275 916250 940000 1102432 1175000 1378040 1466000 1722550 1832500 2290625 2350000 2756080 2932000 3445100 3665000 4306375 4581250 4700000 5512160 6890200 7330000 8612750 9162500 13780400 14660000 17225500 18325000 21531875 27560800 34451000 36650000 43063750 68902000 73300000 86127500 107659375 137804000 172255000 215318750 344510000 430637500 689020000 861275000 1722550000 3445100000