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3476431420 = 22572111971637
BaseRepresentation
bin1100111100110110…
…0010001000111100
322222021112000101021
43033031202020330
524104431301140
61332543553524
7152102115400
oct31715421074
98867460337
103476431420
11152439a420
128102bb8a4
13435306b17
1424d9c5100
15155303b4a
hexcf36223c

3476431420 has 144 divisors (see below), whose sum is σ = 9317179872. Its totient is φ = 1077404160.

The previous prime is 3476431397. The next prime is 3476431421. The reversal of 3476431420 is 241346743.

3476431420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3476431421) 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, 2122842 + ... + 2124478.

It is an arithmetic number, because the mean of its divisors is an integer number (64702638).

Almost surely, 23476431420 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 3476431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658589936).

3476431420 is an abundant number, since it is smaller than the sum of its proper divisors (5840748452).

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

3476431420 is a wasteful number, since it uses less digits than its factorization.

3476431420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 3476431420 is about 58961.2705086992. The cubic root of 3476431420 is about 1514.8788032026.

The spelling of 3476431420 in words is "three billion, four hundred seventy-six million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 197 220 245 308 385 394 490 539 770 788 980 985 1078 1379 1540 1637 1970 2156 2167 2695 2758 3274 3940 4334 5390 5516 6548 6895 8185 8668 9653 10780 10835 11459 13790 15169 16370 18007 19306 21670 22918 27580 30338 32740 36014 38612 43340 45836 48265 57295 60676 72028 75845 80213 90035 96530 106183 114590 126049 151690 160426 180070 193060 212366 229180 252098 303380 320852 322489 360140 401065 424732 504196 530915 630245 644978 802130 882343 1061830 1260490 1289956 1604260 1612445 1764686 2123660 2257423 2520980 3224890 3529372 3547379 4411715 4514846 6449780 7094758 8823430 9029692 11287115 14189516 15801961 17646860 17736895 22574230 24831653 31603922 35473790 45148460 49663306 63207844 70947580 79009805 99326612 124158265 158019610 173821571 248316530 316039220 347643142 496633060 695286284 869107855 1738215710 3476431420