Search a number
-
+
397938312 = 233317307353
BaseRepresentation
bin10111101110000…
…000111010001000
31000201210100202000
4113232000322020
51303333011222
6103253111000
712601264002
oct2756007210
91021710660
10397938312
11194697a42
12b1328460
136459c075
143abc9372
1524e079ac
hex17b80e88

397938312 has 128 divisors (see below), whose sum is σ = 1177545600. Its totient is φ = 124084224.

The previous prime is 397938287. The next prime is 397938353. The reversal of 397938312 is 213839793.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1127128 + ... + 1127480.

It is an arithmetic number, because the mean of its divisors is an integer number (9199575).

Almost surely, 2397938312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397938312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588772800).

397938312 is an abundant number, since it is smaller than the sum of its proper divisors (779607288).

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

397938312 is a wasteful number, since it uses less digits than its factorization.

397938312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 682 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 397938312 is about 19948.3912133285. The cubic root of 397938312 is about 735.5382313364.

The spelling of 397938312 in words is "three hundred ninety-seven million, nine hundred thirty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 307 353 408 459 612 614 706 918 921 1059 1224 1228 1412 1836 1842 2118 2456 2763 2824 3177 3672 3684 4236 5219 5526 6001 6354 7368 8289 8472 9531 10438 11052 12002 12708 15657 16578 18003 19062 20876 22104 24004 25416 31314 33156 36006 38124 41752 46971 48008 54009 62628 66312 72012 76248 93942 108018 108371 125256 140913 144024 162027 187884 216036 216742 281826 324054 325113 375768 432072 433484 563652 648108 650226 866968 975339 1127304 1296216 1300452 1842307 1950678 2600904 2926017 3684614 3901356 5526921 5852034 7369228 7802712 11053842 11704068 14738456 16580763 22107684 23408136 33161526 44215368 49742289 66323052 99484578 132646104 198969156 397938312