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3343140100 = 22521710718379
BaseRepresentation
bin1100011101000100…
…0100010100000100
322121222201010001201
43013101010110010
523321320440400
61311423032244
7145563136066
oct30721042404
98558633051
103343140100
11146612a703
1279373b684
13413808211
1423a009736
1514877506a
hexc7444504

3343140100 has 72 divisors (see below), whose sum is σ = 7753566240. Its totient is φ = 1246763520.

The previous prime is 3343140023. The next prime is 3343140131. The reversal of 3343140100 is 10413433.

It is a super-2 number, since 2×33431401002 = 22353171456456020000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172711 + ... + 191089.

It is an arithmetic number, because the mean of its divisors is an integer number (107688420).

Almost surely, 23343140100 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 3343140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876783120).

3343140100 is an abundant number, since it is smaller than the sum of its proper divisors (4410426140).

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

3343140100 is a wasteful number, since it uses less digits than its factorization.

3343140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18517 (or 18510 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3343140100 is about 57819.8936353224. The cubic root of 3343140100 is about 1495.2650842566.

Adding to 3343140100 its reverse (10413433), we get a palindrome (3353553533).

The spelling of 3343140100 in words is "three billion, three hundred forty-three million, one hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 107 170 214 340 425 428 535 850 1070 1700 1819 2140 2675 3638 5350 7276 9095 10700 18190 18379 36380 36758 45475 73516 90950 91895 181900 183790 312443 367580 459475 624886 918950 1249772 1562215 1837900 1966553 3124430 3933106 6248860 7811075 7866212 9832765 15622150 19665530 31244300 33431401 39331060 49163825 66862802 98327650 133725604 167157005 196655300 334314010 668628020 835785025 1671570050 3343140100