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4534350444 = 22321323720143
BaseRepresentation
bin1000011100100010…
…01011001001101100
3102201000011212110100
410032101023021230
533241243203234
62025534511100
7220236225411
oct41621131154
912630155410
104534350444
111a17582668
12a66665490
13573542a00
143102cc108
151b8126399
hex10e44b26c

4534350444 has 108 divisors (see below), whose sum is σ = 12747405216. Its totient is φ = 1357409664.

The previous prime is 4534350409. The next prime is 4534350487. The reversal of 4534350444 is 4440534354.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4534350399 and 4534350408.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215037 + ... + 235179.

Almost surely, 24534350444 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 4534350444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6373702608).

4534350444 is an abundant number, since it is smaller than the sum of its proper divisors (8213054772).

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

4534350444 is a wasteful number, since it uses less digits than its factorization.

4534350444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20216 (or 20198 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The square root of 4534350444 is about 67337.5856710055. The cubic root of 4534350444 is about 1655.1538201272.

Adding to 4534350444 its reverse (4440534354), we get a palindrome (8974884798).

The spelling of 4534350444 in words is "four billion, five hundred thirty-four million, three hundred fifty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 169 222 234 333 338 444 468 481 507 666 676 962 1014 1332 1443 1521 1924 2028 2886 3042 4329 5772 6084 6253 8658 12506 17316 18759 20143 25012 37518 40286 56277 60429 75036 80572 112554 120858 181287 225108 241716 261859 362574 523718 725148 745291 785577 1047436 1490582 1571154 2235873 2356731 2981164 3142308 3404167 4471746 4713462 6707619 6808334 8943492 9426924 9688783 10212501 13415238 13616668 19377566 20425002 26830476 29066349 30637503 38755132 40850004 58132698 61275006 87199047 116265396 122550012 125954179 174398094 251908358 348796188 377862537 503816716 755725074 1133587611 1511450148 2267175222 4534350444