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397060352 = 2813229521
BaseRepresentation
bin10111101010101…
…010100100000000
31000200010202101222
4113222222210000
51303121412402
6103222214212
712560646233
oct2752524400
91020122358
10397060352
11194148357
12b0b84368
1364352570
143aa3b41a
1524cd27a2
hex17aaa900

397060352 has 72 divisors (see below), whose sum is σ = 858909240. Its totient is φ = 182108160.

The previous prime is 397060351. The next prime is 397060393. The reversal of 397060352 is 253060793.

It can be written as a sum of positive squares in 4 ways, for example, as 46022656 + 351037696 = 6784^2 + 18736^2 .

It is not an unprimeable number, because it can be changed into a prime (397060351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 761852 + ... + 762372.

It is an arithmetic number, because the mean of its divisors is an integer number (11929295).

Almost surely, 2397060352 is an apocalyptic number.

397060352 is a gapful number since it is divisible by the number (32) 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 397060352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429454620).

397060352 is an abundant number, since it is smaller than the sum of its proper divisors (461848888).

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

397060352 is a wasteful number, since it uses less digits than its factorization.

397060352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 35.

The square root of 397060352 is about 19926.3732776439. The cubic root of 397060352 is about 734.9969006610.

The spelling of 397060352 in words is "three hundred ninety-seven million, sixty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 229 256 416 458 521 832 916 1042 1664 1832 2084 2977 3328 3664 4168 5954 6773 7328 8336 11908 13546 14656 16672 23816 27092 29312 33344 47632 54184 58624 66688 95264 108368 119309 133376 190528 216736 238618 381056 433472 477236 762112 866944 954472 1551017 1733888 1908944 3102034 3817888 6204068 7635776 12408136 15271552 24816272 30543104 49632544 99265088 198530176 397060352