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3443130432 = 263272121993
BaseRepresentation
bin1100110100111010…
…0000000001000000
322212221212011000100
43031032200001000
524022420133212
61325354122400
7151216061100
oct31516400100
98787764010
103443130432
111507614945
12801120400
1342b4474b1
142493d7200
15152426bdc
hexcd3a0040

3443130432 has 126 divisors (see below), whose sum is σ = 11480489358. Its totient is φ = 983743488.

The previous prime is 3443130359. The next prime is 3443130433. The reversal of 3443130432 is 2340313443.

3443130432 is a `hidden beast` number, since 344 + 313 + 0 + 4 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2747437056 + 695693376 = 52416^2 + 26376^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a junction number, because it is equal to n+sod(n) for n = 3443130396 and 3443130405.

It is not an unprimeable number, because it can be changed into a prime (3443130433) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32773 + ... + 89220.

Almost surely, 23443130432 is an apocalyptic number.

3443130432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3443130432 is an abundant number, since it is smaller than the sum of its proper divisors (8037358926).

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

3443130432 is a wasteful number, since it uses less digits than its factorization.

3443130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122025 (or 122005 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3443130432 is about 58678.1938372339. The cubic root of 3443130432 is about 1510.0262311423.

Adding to 3443130432 its reverse (2340313443), we get a palindrome (5783443875).

The spelling of 3443130432 in words is "three billion, four hundred forty-three million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 121993 243986 365979 487972 731958 853951 975944 1097937 1463916 1707902 1951888 2195874 2561853 2927832 3415804 3903776 4391748 5123706 5855664 5977657 6831608 7685559 7807552 8783496 10247412 11711328 11955314 13663216 15371118 17566992 17932971 20494824 23422656 23910628 27326432 30742236 35133984 35865942 40989648 47821256 53798913 54652864 61484472 70267968 71731884 81979296 95642512 107597826 122968944 143463768 163958592 191285024 215195652 245937888 286927536 382570048 430391304 491875776 573855072 860782608 1147710144 1721565216 3443130432