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3400134500424 = 23329101197245527
BaseRepresentation
bin110001011110100111110…
…011110010000001001000
3110001001100012220222100010
4301132213303302001020
5421201433413003144
611122000014311520
7500436334251444
oct61364763620110
913031305828303
103400134500424
1110a0a97314252
1246ab761b85a0
131b8828ca129c
14ba7d2cab824
155d6a2d595b9
hex317a7cf2048

3400134500424 has 128 divisors (see below), whose sum is σ = 8925630278400. Its totient is φ = 1077957350400.

The previous prime is 3400134500407. The next prime is 3400134500479. The reversal of 3400134500424 is 4240054310043.

It is a junction number, because it is equal to n+sod(n) for n = 3400134500391 and 3400134500400.

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, 13725549 + ... + 13971075.

It is an arithmetic number, because the mean of its divisors is an integer number (69731486550).

Almost surely, 23400134500424 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 3400134500424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462815139200).

3400134500424 is an abundant number, since it is smaller than the sum of its proper divisors (5525495777976).

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

3400134500424 is a wasteful number, since it uses less digits than its factorization.

3400134500424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245863 (or 245859 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 3400134500424 its reverse (4240054310043), we get a palindrome (7640188810467).

The spelling of 3400134500424 in words is "three trillion, four hundred billion, one hundred thirty-four million, five hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 101 116 174 197 202 232 303 348 394 404 591 606 696 788 808 1182 1212 1576 2364 2424 2929 4728 5713 5858 8787 11426 11716 17139 17574 19897 22852 23432 34278 35148 39794 45704 59691 68556 70296 79588 119382 137112 159176 238764 245527 477528 491054 577013 736581 982108 1154026 1473162 1731039 1964216 2308052 2946324 3462078 4616104 5892648 6924156 7120283 13848312 14240566 21360849 24798227 28481132 42721698 48368819 49596454 56962264 74394681 85443396 96737638 99192908 145106457 148789362 170886792 193475276 198385816 290212914 297578724 386950552 580425828 595157448 719148583 1160851656 1402695751 1438297166 2157445749 2805391502 2876594332 4208087253 4314891498 4885250719 5610783004 5753188664 8416174506 8629782996 9770501438 11221566008 14655752157 16832349012 17259565992 19541002876 29311504314 33664698024 39082005752 58623008628 117246017256 141672270851 283344541702 425016812553 566689083404 850033625106 1133378166808 1700067250212 3400134500424