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3504134452 = 2272131780897
BaseRepresentation
bin1101000011011100…
…1101100100110100
3100001012122110210111
43100313031210310
524134024300302
61335413432404
7152556436300
oct32067154464
910035573714
103504134452
111538aa1095
1281963b704
1343ac86450
14253556d00
151579770d7
hexd0dcd934

3504134452 has 72 divisors (see below), whose sum is σ = 8134132104. Its totient is φ = 1304690688.

The previous prime is 3504134449. The next prime is 3504134461. The reversal of 3504134452 is 2544314053.

3504134452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1060414096 + 2443720356 = 32564^2 + 49434^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2868 + ... + 83764.

It is an arithmetic number, because the mean of its divisors is an integer number (112974057).

Almost surely, 23504134452 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 3504134452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067066052).

3504134452 is an abundant number, since it is smaller than the sum of its proper divisors (4629997652).

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

3504134452 is a wasteful number, since it uses less digits than its factorization.

3504134452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80945 (or 80936 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 3504134452 is about 59195.7300149259. The cubic root of 3504134452 is about 1518.8920902765.

The spelling of 3504134452 in words is "three billion, five hundred four million, one hundred thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 68 91 98 119 182 196 221 238 364 442 476 637 833 884 1274 1547 1666 2548 3094 3332 6188 10829 21658 43316 80897 161794 323588 566279 1051661 1132558 1375249 2103322 2265116 2750498 3963953 4206644 5500996 7361627 7927906 9626743 14723254 15855812 17878237 19253486 29446508 35756474 38506972 51531389 67387201 71512948 103062778 125147659 134774402 206125556 250295318 269548804 500590636 876033613 1752067226 3504134452