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397664148 = 2237191931291
BaseRepresentation
bin10111101100111…
…101111110010100
31000201021102122210
4113230331332110
51303300223043
6103243153420
712566042460
oct2754757624
91021242583
10397664148
1119451aa62
12b1215870
136450433b
143ab574a0
1524da1633
hex17b3df94

397664148 has 96 divisors (see below), whose sum is σ = 1122903040. Its totient is φ = 106997760.

The previous prime is 397664147. The next prime is 397664149. The reversal of 397664148 is 841466793.

It is an interprime number because it is at equal distance from previous prime (397664147) and next prime (397664149).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 397664097 and 397664106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397664143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 307383 + ... + 308673.

Almost surely, 2397664148 is an apocalyptic number.

397664148 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 397664148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561451520).

397664148 is an abundant number, since it is smaller than the sum of its proper divisors (725238892).

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

397664148 is a wasteful number, since it uses less digits than its factorization.

397664148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1515 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 397664148 is about 19941.5181969679. The cubic root of 397664148 is about 735.3692734629.

The spelling of 397664148 in words is "three hundred ninety-seven million, six hundred sixty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 193 228 266 386 399 532 579 772 798 1158 1291 1351 1596 2316 2582 2702 3667 3873 4053 5164 5404 7334 7746 8106 9037 11001 14668 15492 16212 18074 22002 24529 25669 27111 36148 44004 49058 51338 54222 73587 77007 98116 102676 108444 147174 154014 171703 249163 294348 308028 343406 498326 515109 686812 747489 996652 1030218 1494978 1744141 2060436 2989956 3488282 4734097 5232423 6976564 9468194 10464846 14202291 18936388 20929692 28404582 33138679 56809164 66277358 99416037 132554716 198832074 397664148