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3434344420 = 2251317777001
BaseRepresentation
bin1100110010110011…
…1110111111100100
322212100022202212111
43030230332333210
524013143010140
61324441530404
7151051305643
oct31454767744
98770282774
103434344420
111502663881
127ba1a3a04
1342968c380
1424818b35a
1515178d7ea
hexccb3efe4

3434344420 has 48 divisors (see below), whose sum is σ = 8223789168. Its totient is φ = 1193472000.

The previous prime is 3434344351. The next prime is 3434344513. The reversal of 3434344420 is 244434343.

It can be written as a sum of positive squares in 8 ways, for example, as 158155776 + 3276188644 = 12576^2 + 57238^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384081 + ... + 392920.

It is an arithmetic number, because the mean of its divisors is an integer number (171328941).

Almost surely, 23434344420 is an apocalyptic number.

It is an amenable number.

3434344420 is an abundant number, since it is smaller than the sum of its proper divisors (4789444748).

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

3434344420 is a wasteful number, since it uses less digits than its factorization.

3434344420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777040 (or 777038 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 31.

The square root of 3434344420 is about 58603.2799423377. The cubic root of 3434344420 is about 1508.7407333799.

Adding to 3434344420 its reverse (244434343), we get a palindrome (3678778763).

The spelling of 3434344420 in words is "three billion, four hundred thirty-four million, three hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 777001 1554002 3108004 3885005 7770010 10101013 13209017 15540020 20202026 26418034 40404052 50505065 52836068 66045085 101010130 132090170 171717221 202020260 264180340 343434442 686868884 858586105 1717172210 3434344420