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3430321124244 = 2237241349407707
BaseRepresentation
bin110001111010101111000…
…100100111001110010100
3110010221020222101100110120
4301322233010213032110
5422200244201433434
611143511234351540
7502555361314200
oct61725704471624
913127228340416
103430321124244
111102877934543
1247499b72b5b0
131bb629c19181
14bc058015b00
155e36d049349
hex31eaf127394

3430321124244 has 144 divisors (see below), whose sum is σ = 9565318929600. Its totient is φ = 953444943360.

The previous prime is 3430321124207. The next prime is 3430321124381. The reversal of 3430321124244 is 4424211230343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8209839 + ... + 8617545.

It is an arithmetic number, because the mean of its divisors is an integer number (66425825900).

Almost surely, 23430321124244 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 3430321124244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782659464800).

3430321124244 is an abundant number, since it is smaller than the sum of its proper divisors (6134997805356).

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

3430321124244 is a wasteful number, since it uses less digits than its factorization.

3430321124244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408118 (or 408109 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 3430321124244 its reverse (4424211230343), we get a palindrome (7854532354587).

The spelling of 3430321124244 in words is "three trillion, four hundred thirty billion, three hundred twenty-one million, one hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 287 294 349 492 574 588 698 861 1047 1148 1396 1722 2009 2094 2443 3444 4018 4188 4886 6027 7329 8036 9772 12054 14309 14658 17101 24108 28618 29316 34202 42927 51303 57236 68404 85854 100163 102606 171708 200326 205212 300489 400652 407707 600978 701141 815414 1201956 1223121 1402282 1630828 2103423 2446242 2804564 2853949 4206846 4892484 5707898 8413692 8561847 11415796 16715987 17123694 19977643 33431974 34247388 39955286 50147961 59932929 66863948 79910572 100295922 117011909 119865858 142289743 200591844 234023818 239731716 284579486 351035727 426869229 468047636 569158972 702071454 819083363 853738458 996028201 1404142908 1638166726 1707476916 1992056402 2457250089 2988084603 3276333452 3984112804 4914500178 5833879463 5976169206 6972197407 9829000356 11667758926 11952338412 13944394814 17501638389 20916592221 23335517852 27888789628 35003276778 40837156241 41833184442 70006553556 81674312482 83666368884 122511468723 163348624964 245022937446 285860093687 490045874892 571720187374 857580281061 1143440374748 1715160562122 3430321124244