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385146697 = 1331230829
BaseRepresentation
bin10110111101001…
…101111101001001
3222211201110221111
4112331031331021
51242044143242
6102115010321
712354456445
oct2675157511
9884643844
10385146697
11188450461
12a8b999a1
1361a40970
1439219825
1523c2c817
hex16f4df49

385146697 has 12 divisors (see below), whose sum is σ = 428598660. Its totient is φ = 344040480.

The previous prime is 385146691. The next prime is 385146703. The reversal of 385146697 is 796641583.

It is an interprime number because it is at equal distance from previous prime (385146691) and next prime (385146703).

It can be written as a sum of positive squares in 2 ways, for example, as 202464441 + 182682256 = 14229^2 + 13516^2 .

It is not a de Polignac number, because 385146697 - 23 = 385146689 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 385146697.

It is not an unprimeable number, because it can be changed into a prime (385146691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2922 + ... + 27907.

It is an arithmetic number, because the mean of its divisors is an integer number (35716555).

Almost surely, 2385146697 is an apocalyptic number.

It is an amenable number.

385146697 is a deficient number, since it is larger than the sum of its proper divisors (43451963).

385146697 is a wasteful number, since it uses less digits than its factorization.

385146697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30904 (or 30873 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The square root of 385146697 is about 19625.1547000272. The cubic root of 385146697 is about 727.5710204911.

The spelling of 385146697 in words is "three hundred eighty-five million, one hundred forty-six thousand, six hundred ninety-seven".

Divisors: 1 13 31 403 961 12493 30829 400777 955699 12424087 29626669 385146697