Search a number
-
+
379955961 = 337111791021
BaseRepresentation
bin10110101001011…
…010101011111001
3222110221202121000
4112221122223321
51234232042321
6101411435213
712262400220
oct2651325371
9873852530
10379955961
111855255a0
12a72b5b09
1360944118
1438667cb7
1523554826
hex16a5aaf9

379955961 has 64 divisors (see below), whose sum is σ = 706406400. Its totient is φ = 196084800.

The previous prime is 379955959. The next prime is 379955963. The reversal of 379955961 is 169559973.

379955961 is a nontrivial binomial coefficient, being equal to C(27567, 2).

It is an interprime number because it is at equal distance from previous prime (379955959) and next prime (379955963).

It is not a de Polignac number, because 379955961 - 21 = 379955959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 379955898 and 379955907.

It is not an unprimeable number, because it can be changed into a prime (379955963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371631 + ... + 372651.

It is an arithmetic number, because the mean of its divisors is an integer number (11037600).

Almost surely, 2379955961 is an apocalyptic number.

379955961 is the 27566-th triangular number.

It is an amenable number.

379955961 is a deficient number, since it is larger than the sum of its proper divisors (326450439).

379955961 is a wasteful number, since it uses less digits than its factorization.

379955961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1221 counting only the distinct ones).

The product of its digits is 2296350, while the sum is 54.

The square root of 379955961 is about 19492.4590803726. The cubic root of 379955961 is about 724.2876624416.

It can be divided in two parts, 37995 and 5961, that added together give a triangular number (43956 = T296).

The spelling of 379955961 in words is "three hundred seventy-nine million, nine hundred fifty-five thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 179 189 231 297 537 693 1021 1253 1611 1969 2079 3063 3759 4833 5907 7147 9189 11231 11277 13783 17721 21441 27567 33693 33831 41349 53163 64323 78617 101079 124047 182759 192969 235851 303237 372141 548277 707553 1279313 1644831 2010349 2122659 3837939 4934493 6031047 11513817 14072443 18093141 34541451 42217329 54279423 126651987 379955961