Search a number
-
+
397663830 = 23451728879
BaseRepresentation
bin10111101100111…
…101111001010110
31000201021102020000
4113230331321112
51303300220310
6103243152130
712566041524
oct2754757126
91021242200
10397663830
1119451a7a3
12b1215646
1364504155
143ab57314
1524da14c0
hex17b3de56

397663830 has 80 divisors (see below), whose sum is σ = 1132211520. Its totient is φ = 99802368.

The previous prime is 397663817. The next prime is 397663853. The reversal of 397663830 is 38366793.

It is a happy number.

397663830 is a `hidden beast` number, since 3 + 9 + 7 + 6 + 638 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 670 + ... + 28209.

It is an arithmetic number, because the mean of its divisors is an integer number (14152644).

Almost surely, 2397663830 is an apocalyptic number.

397663830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 397663830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566105760).

397663830 is an abundant number, since it is smaller than the sum of its proper divisors (734547690).

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

397663830 is a wasteful number, since it uses less digits than its factorization.

397663830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28915 (or 28906 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 397663830 is about 19941.5102236516. The cubic root of 397663830 is about 735.3690774453.

The spelling of 397663830 in words is "three hundred ninety-seven million, six hundred sixty-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 13770 28879 57758 86637 144395 173274 259911 288790 433185 490943 519822 779733 866370 981886 1299555 1472829 1559466 2339199 2454715 2599110 2945658 3898665 4418487 4678398 4909430 7364145 7797330 8836974 11695995 13255461 14728290 22092435 23391990 26510922 39766383 44184870 66277305 79532766 132554610 198831915 397663830