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3830743449 = 34132234
BaseRepresentation
bin1110010001010100…
…1000000110011001
3100212222012221010000
43210111020012121
530321132242244
61432042043213
7163633532151
oct34425100631
910788187100
103830743449
11169639a285
128aaaa9509
1349083c900
14284a95761
15176490169
hexe4548199

3830743449 has 75 divisors (see below), whose sum is σ = 6478178223. Its totient is φ = 2254885776.

The previous prime is 3830743421. The next prime is 3830743481. The reversal of 3830743449 is 9443470383.

The square root of 3830743449 is 61893.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 566678025 + 3264065424 = 23805^2 + 57132^2 .

It is not a de Polignac number, because 3830743449 - 27 = 3830743321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3830743249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 166554052 + ... + 166554074.

Almost surely, 23830743449 is an apocalyptic number.

3830743449 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

3830743449 is the 61893-rd square number.

3830743449 is the 30947-th centered octagonal number.

It is an amenable number.

3830743449 is a deficient number, since it is larger than the sum of its proper divisors (2647434774).

3830743449 is an frugal number, since it uses more digits than its factorization.

3830743449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The cubic root of 3830743449 is about 1564.6877742059.

The spelling of 3830743449 in words is "three billion, eight hundred thirty million, seven hundred forty-three thousand, four hundred forty-nine".

Divisors: 1 3 9 13 23 27 39 69 81 117 169 207 299 351 507 529 621 897 1053 1521 1587 1863 2691 3887 4563 4761 6877 8073 11661 12167 13689 14283 20631 24219 34983 36501 42849 61893 89401 104949 109503 158171 185679 268203 279841 314847 328509 474513 557037 804609 839523 985527 1423539 2056223 2413827 2518569 3637933 4270617 6168669 7241481 7555707 10913799 12811851 18506007 22667121 32741397 47293129 55518021 98224191 141879387 166554063 294672573 425638161 1276914483 3830743449