Search a number
-
+
3401057133 = 3319411011601
BaseRepresentation
bin1100101010111000…
…0000001101101101
322210000200121022000
43022232000031231
523431132312013
61321252242513
7150165336315
oct31256001555
98700617260
103401057133
111495898621
127ab010439
13422806056
142439a4445
1514d8b5973
hexcab8036d

3401057133 has 64 divisors (see below), whose sum is σ = 5490374400. Its totient is φ = 2073600000.

The previous prime is 3401057129. The next prime is 3401057147. The reversal of 3401057133 is 3317501043.

It is not a de Polignac number, because 3401057133 - 22 = 3401057129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3401057097 and 3401057106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401057533) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2123533 + ... + 2125133.

It is an arithmetic number, because the mean of its divisors is an integer number (85787100).

Almost surely, 23401057133 is an apocalyptic number.

It is an amenable number.

3401057133 is a deficient number, since it is larger than the sum of its proper divisors (2089317267).

3401057133 is a wasteful number, since it uses less digits than its factorization.

3401057133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 3401057133 is about 58318.5830846395. The cubic root of 3401057133 is about 1503.8504237011.

Adding to 3401057133 its reverse (3317501043), we get a palindrome (6718558176).

The spelling of 3401057133 in words is "three billion, four hundred one million, fifty-seven thousand, one hundred thirty-three".

Divisors: 1 3 9 19 27 41 57 101 123 171 303 369 513 779 909 1107 1601 1919 2337 2727 4141 4803 5757 7011 12423 14409 17271 21033 30419 37269 43227 51813 65641 78679 91257 111807 161701 196923 236037 273771 485103 590769 708111 821313 1247179 1455309 1772307 2124333 3072319 3741537 4365927 6629741 9216957 11224611 19889223 27650871 33673833 59667669 82952613 125965079 179003007 377895237 1133685711 3401057133