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4300014420 = 223251311091657
BaseRepresentation
bin1000000000100110…
…10000001101010100
3102002200020100212100
410000103100031110
532301300430140
61550404122100
7211362343122
oct40023201524
912080210770
104300014420
111907278529
12a00096330
13536b25c40
142cb12c912
151a2788530
hex1004d0354

4300014420 has 144 divisors (see below), whose sum is σ = 14067864720. Its totient is φ = 1056872448.

The previous prime is 4300014419. The next prime is 4300014421. The reversal of 4300014420 is 244100034.

It is an interprime number because it is at equal distance from previous prime (4300014419) and next prime (4300014421).

It can be written as a sum of positive squares in 8 ways, for example, as 1734389316 + 2565625104 = 41646^2 + 50652^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4300014393 and 4300014402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4300014421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2594232 + ... + 2595888.

It is an arithmetic number, because the mean of its divisors is an integer number (97693505).

Almost surely, 24300014420 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 4300014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7033932360).

4300014420 is an abundant number, since it is smaller than the sum of its proper divisors (9767850300).

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

4300014420 is a wasteful number, since it uses less digits than its factorization.

4300014420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4300014420 is about 65574.4951943970. The cubic root of 4300014420 is about 1626.1351494169.

Adding to 4300014420 its reverse (244100034), we get a palindrome (4544114454).

The spelling of 4300014420 in words is "four billion, three hundred million, fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1109 1170 1657 2218 2340 3314 3327 4436 4971 5545 6628 6654 8285 9942 9981 11090 13308 14417 14913 16570 16635 19884 19962 21541 22180 24855 28834 29826 33140 33270 39924 43082 43251 49710 49905 57668 59652 64623 66540 72085 74565 86164 86502 99420 99810 107705 129246 129753 144170 149130 173004 193869 199620 215410 216255 258492 259506 288340 298260 323115 387738 430820 432510 519012 646230 648765 775476 865020 969345 1292460 1297530 1837613 1938690 2595060 3675226 3877380 5512839 7350452 9188065 11025678 16538517 18376130 22051356 23888969 27564195 33077034 36752260 47777938 55128390 66154068 71666907 82692585 95555876 110256780 119444845 143333814 165385170 215000721 238889690 286667628 330770340 358334535 430001442 477779380 716669070 860002884 1075003605 1433338140 2150007210 4300014420