Search a number
-
+
385139401 = 2937289109
BaseRepresentation
bin10110111101001…
…100001011001001
3222211201002221021
4112331030023021
51242043430101
6102114512441
712354426253
oct2675141311
9884632837
10385139401
11188445a29
12a8b95721
1361a3a54a
1439216cd3
1523c2a5a1
hex16f4c2c9

385139401 has 24 divisors (see below), whose sum is σ = 417879000. Its totient is φ = 354461184.

The previous prime is 385139387. The next prime is 385139411. The reversal of 385139401 is 104931583.

It can be written as a sum of positive squares in 12 ways, for example, as 38025 + 385101376 = 195^2 + 19624^2 .

It is not a de Polignac number, because 385139401 - 27 = 385139273 is a prime.

It is a super-3 number, since 3×3851394013 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385139411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3533335 + ... + 3533443.

It is an arithmetic number, because the mean of its divisors is an integer number (17411625).

Almost surely, 2385139401 is an apocalyptic number.

It is an amenable number.

385139401 is a deficient number, since it is larger than the sum of its proper divisors (32739599).

385139401 is a wasteful number, since it uses less digits than its factorization.

385139401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 385139401 is about 19624.9688152618. The cubic root of 385139401 is about 727.5664262315.

The spelling of 385139401 in words is "three hundred eighty-five million, one hundred thirty-nine thousand, four hundred one".

Divisors: 1 29 37 89 109 1073 1369 2581 3161 3293 4033 9701 39701 95497 116957 121841 149221 281329 358937 3533389 4327409 10409173 13280669 385139401