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4202203434 = 2311213541823
BaseRepresentation
bin1111101001111000…
…1000100100101010
3101211212012001102020
43322132020210222
532101231002214
61532551445310
7206064065652
oct37236104452
911755161366
104202203434
111867041700
12993386836
1351c79a910
142bc14b362
15198db74a9
hexfa78892a

4202203434 has 96 divisors (see below), whose sum is σ = 9979009152. Its totient is φ = 1171843200.

The previous prime is 4202203417. The next prime is 4202203493. The reversal of 4202203434 is 4343022024.

4202203434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5105547 + ... + 5106369.

It is an arithmetic number, because the mean of its divisors is an integer number (103948012).

Almost surely, 24202203434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4202203434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989504576).

4202203434 is an abundant number, since it is smaller than the sum of its proper divisors (5776805718).

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

4202203434 is a wasteful number, since it uses less digits than its factorization.

4202203434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4202203434 is about 64824.4046173970. The cubic root of 4202203434 is about 1613.7107461847.

Adding to 4202203434 its reverse (4343022024), we get a palindrome (8545225458).

The spelling of 4202203434 in words is "four billion, two hundred two million, two hundred three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 541 726 823 858 1082 1573 1623 1646 2469 3146 3246 4719 4938 5951 7033 9053 9438 10699 11902 14066 17853 18106 21099 21398 27159 32097 35706 42198 54318 64194 65461 77363 99583 117689 130922 154726 196383 199166 232089 235378 298749 353067 392766 445243 464178 597498 706134 850993 890486 1294579 1335729 1701986 2552979 2589158 2671458 3883737 4897673 5105958 5788159 7767474 9795346 11576318 14693019 17364477 29386038 34728954 53874403 63669749 107748806 127339498 161623209 191009247 323246418 382018494 700367239 1400734478 2101101717 4202203434