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3409090800108 = 2237612772401871
BaseRepresentation
bin110001100110111101101…
…001010110100111101100
3110001220110101210010210020
4301212331221112213230
5421323304221100413
611130040435042140
7501204306453360
oct61467551264754
913056411703706
103409090800108
1110a4872977814
12470855740350
131b96256906b6
14bb0025892a0
155da292a2c23
hex319bda569ec

3409090800108 has 96 divisors (see below), whose sum is σ = 9273301137408. Its totient is φ = 954599212800.

The previous prime is 3409090800103. The next prime is 3409090800109. The reversal of 3409090800108 is 8010080909043.

It is a super-2 number, since 2×34090908001082 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 3409090800108.

It is not an unprimeable number, because it can be changed into a prime (3409090800103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218413 + ... + 2620283.

It is an arithmetic number, because the mean of its divisors is an integer number (96596886848).

Almost surely, 23409090800108 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 3409090800108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636650568704).

3409090800108 is an abundant number, since it is smaller than the sum of its proper divisors (5864210337300).

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

3409090800108 is a wasteful number, since it uses less digits than its factorization.

3409090800108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402223 (or 2402221 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 3409090800108 in words is "three trillion, four hundred nine billion, ninety million, eight hundred thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 277 366 427 554 732 831 854 1108 1281 1662 1708 1939 2562 3324 3878 5124 5817 7756 11634 16897 23268 33794 50691 67588 101382 118279 202764 236558 354837 473116 709674 1419348 2401871 4803742 7205613 9607484 14411226 16813097 28822452 33626194 50439291 67252388 100878582 146514131 201757164 293028262 439542393 586056524 665318267 879084786 1025598917 1330636534 1758169572 1995954801 2051197834 2661273068 3076796751 3991909602 4102395668 4657227869 6153593502 7983819204 9314455738 12307187004 13971683607 18628911476 27943367214 40584414287 55886734428 81168828574 121753242861 162337657148 243506485722 284090900009 487012971444 568181800018 852272700027 1136363600036 1704545400054 3409090800108