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3430030412420 = 22537103130334537
BaseRepresentation
bin110001111010011101101…
…111101000101010000100
3110010220111201100122210222
4301322131233220222010
5422144200241144140
611143422331403512
7502545231310643
oct61723557505204
913126451318728
103430030412420
111102738824437
1247491a2b3598
131bb5b1920c41
14bc02b57d35a
155e3527725b5
hex31e9dbe8a84

3430030412420 has 96 divisors (see below), whose sum is σ = 7475513031168. Its totient is φ = 1320917455872.

The previous prime is 3430030412407. The next prime is 3430030412491. The reversal of 3430030412420 is 242140300343.

It is a super-2 number, since 2×34300304124202 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3430030412420.

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, 99297392 + ... + 99331928.

It is an arithmetic number, because the mean of its divisors is an integer number (77869927408).

Almost surely, 23430030412420 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 3430030412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3737756515584).

3430030412420 is an abundant number, since it is smaller than the sum of its proper divisors (4045482618748).

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

3430030412420 is a wasteful number, since it uses less digits than its factorization.

3430030412420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35989 (or 35987 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 3430030412420 its reverse (242140300343), we get a palindrome (3672170712763).

The spelling of 3430030412420 in words is "three trillion, four hundred thirty billion, thirty million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 103 148 185 206 370 412 515 740 1030 1303 2060 2606 3811 5212 6515 7622 13030 15244 19055 26060 34537 38110 48211 69074 76220 96422 134209 138148 172685 192844 241055 268418 345370 482110 536836 671045 690740 964220 1277869 1342090 2555738 2684180 3557311 4965733 5111476 6389345 7114622 9931466 12778690 14229244 17786555 19862932 24828665 25557380 35573110 45001711 49657330 71146220 90003422 99314660 131620507 180006844 225008555 263241014 450017110 526482028 658102535 900034220 1316205070 1665063307 2632410140 3330126614 4635176233 6660253228 8325316535 9270352466 16650633070 18540704932 23175881165 33301266140 46351762330 92703524660 171501520621 343003041242 686006082484 857507603105 1715015206210 3430030412420