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348438502104 = 233711312160413
BaseRepresentation
bin1010001001000001000…
…11011001101011011000
31020022101021111212221120
411010200203121223120
521202100224031404
6424023114205240
734113426254160
oct5044043315330
91208337455846
10348438502104
111248544a5920
1257643423820
1326b1c226684
1412c163215a0
1590e4e0c9d9
hex51208d9ad8

348438502104 has 128 divisors (see below), whose sum is σ = 1086408046080. Its totient is φ = 90473011200.

The previous prime is 348438502043. The next prime is 348438502121. The reversal of 348438502104 is 401205834843.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5737402 + ... + 5797814.

It is an arithmetic number, because the mean of its divisors is an integer number (8487562860).

Almost surely, 2348438502104 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 348438502104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543204023040).

348438502104 is an abundant number, since it is smaller than the sum of its proper divisors (737969543976).

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

348438502104 is a wasteful number, since it uses less digits than its factorization.

348438502104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63561 (or 63557 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 348438502104 in words is "three hundred forty-eight billion, four hundred thirty-eight million, five hundred two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 3121 6242 9363 12484 18726 21847 24968 34331 37452 43694 60413 65541 68662 74904 87388 102993 120826 131082 137324 174776 181239 205986 240317 241652 262164 274648 362478 411972 422891 480634 483304 524328 664543 720951 724956 823944 845782 961268 1268673 1329086 1441902 1449912 1691564 1922536 1993629 2537346 2658172 2883804 3383128 3987258 4651801 5074692 5316344 5767608 7974516 9303602 10149384 13955403 15949032 18607204 27910806 37214408 55821612 111643224 188548973 377097946 565646919 754195892 1131293838 1319842811 1508391784 2074038703 2262587676 2639685622 3959528433 4148077406 4525175352 5279371244 6222116109 7919056866 8296154812 10558742488 12444232218 14518270921 15838113732 16592309624 24888464436 29036541842 31676227464 43554812763 49776928872 58073083684 87109625526 116146167368 174219251052 348438502104