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4133000340 = 2232577941521
BaseRepresentation
bin1111011001011000…
…1001010010010100
3101200000222011121200
43312112021102110
531431022002330
61522040312500
7204263631450
oct36626112224
911600864550
104133000340
111830a75367
12974172730
1350b34aa41
142b2c95660
15192c97a60
hexf6589494

4133000340 has 144 divisors (see below), whose sum is σ = 14509447680. Its totient is φ = 932705280.

The previous prime is 4133000329. The next prime is 4133000353. The reversal of 4133000340 is 430003314.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 78780 + ... + 120300.

Almost surely, 24133000340 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 4133000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254723840).

4133000340 is an abundant number, since it is smaller than the sum of its proper divisors (10376447340).

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

4133000340 is a wasteful number, since it uses less digits than its factorization.

4133000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41622 (or 41617 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 4133000340 is about 64288.4152861151. The cubic root of 4133000340 is about 1604.8033182579.

Adding to 4133000340 its reverse (430003314), we get a palindrome (4563003654).

The spelling of 4133000340 in words is "four billion, one hundred thirty-three million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 79 84 90 105 126 140 158 180 210 237 252 315 316 395 420 474 553 630 711 790 948 1106 1185 1260 1422 1580 1659 2212 2370 2765 2844 3318 3555 4740 4977 5530 6636 7110 8295 9954 11060 14220 16590 19908 24885 33180 41521 49770 83042 99540 124563 166084 207605 249126 290647 373689 415210 498252 581294 622815 747378 830420 871941 1162588 1245630 1453235 1494756 1743882 1868445 2491260 2615823 2906470 3280159 3487764 3736890 4359705 5231646 5812940 6560318 7473780 8719410 9840477 10463292 13079115 13120636 16400795 17438820 19680954 22961113 26158230 29521431 32801590 39361908 45922226 49202385 52316460 59042862 65603180 68883339 91844452 98404770 114805565 118085724 137766678 147607155 196809540 206650017 229611130 275533356 295214310 344416695 413300034 459222260 590428620 688833390 826600068 1033250085 1377666780 2066500170 4133000340