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397052348 = 227111923571
BaseRepresentation
bin10111101010101…
…000100110111100
31000200010100102112
4113222220212330
51303121133343
6103222113152
712560614010
oct2752504674
91020110375
10397052348
11194142340
12b0b7b7b8
136434ba24
143aa38540
1524cd0218
hex17aa89bc

397052348 has 72 divisors (see below), whose sum is σ = 914546304. Its totient is φ = 146512800.

The previous prime is 397052347. The next prime is 397052363. The reversal of 397052348 is 843250793.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397052347) 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, 109403 + ... + 112973.

It is an arithmetic number, because the mean of its divisors is an integer number (12702032).

Almost surely, 2397052348 is an apocalyptic number.

397052348 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397052348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457273152).

397052348 is an abundant number, since it is smaller than the sum of its proper divisors (517493956).

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

397052348 is a wasteful number, since it uses less digits than its factorization.

397052348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 397052348 is about 19926.1724372746. The cubic root of 397052348 is about 734.9919619032.

The spelling of 397052348 in words is "three hundred ninety-seven million, fifty-two thousand, three hundred forty-eight".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 361 418 532 722 836 1444 1463 2527 2926 3571 3971 5054 5852 7142 7942 10108 14284 15884 24997 27797 39281 49994 55594 67849 78562 99988 111188 135698 157124 271396 274967 474943 549934 746339 949886 1099868 1289131 1492678 1899772 2578262 2985356 5156524 5224373 9023917 10448746 14180441 18047834 20897492 28360882 36095668 56721764 99263087 198526174 397052348