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3434303430 = 2325972271733
BaseRepresentation
bin1100110010110011…
…0100111111000110
322212100020200122100
43030230310333012
524013140202210
61324441012530
7151051045305
oct31454647706
98770220570
103434303430
111502635aa8
127ba184146
1342967680c
1424817a43c
151517815c0
hexccb34fc6

3434303430 has 96 divisors (see below), whose sum is σ = 9066212064. Its totient is φ = 901859328.

The previous prime is 3434303413. The next prime is 3434303461. The reversal of 3434303430 is 343034343.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3434303394 and 3434303403.

It is a congruent number.

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, 1980844 + ... + 1982576.

It is an arithmetic number, because the mean of its divisors is an integer number (94439709).

Almost surely, 23434303430 is an apocalyptic number.

3434303430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434303430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533106032).

3434303430 is an abundant number, since it is smaller than the sum of its proper divisors (5631908634).

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

3434303430 is a wasteful number, since it uses less digits than its factorization.

3434303430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

The square root of 3434303430 is about 58602.9302168415. The cubic root of 3434303430 is about 1508.7347309215.

Adding to 3434303430 its reverse (343034343), we get a palindrome (3777337773).

The spelling of 3434303430 in words is "three billion, four hundred thirty-four million, three hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 227 291 454 485 582 681 873 970 1135 1362 1455 1733 1746 2043 2270 2910 3405 3466 4086 4365 5199 6810 8665 8730 10215 10398 15597 17330 20430 22019 25995 31194 44038 51990 66057 77985 110095 132114 155970 168101 198171 220190 330285 336202 393391 396342 504303 660570 786782 840505 990855 1008606 1180173 1512909 1681010 1966955 1981710 2360346 2521515 3025818 3540519 3933910 5043030 5900865 7081038 7564545 11801730 15129090 17702595 35405190 38158927 76317854 114476781 190794635 228953562 343430343 381589270 572383905 686860686 1144767810 1717151715 3434303430