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397052304 = 243112137499
BaseRepresentation
bin10111101010101…
…000100110010000
31000200010100100220
4113222220212100
51303121133204
6103222113040
712560613615
oct2752504620
91020110326
10397052304
11194142300
12b0b7b780
136434b9bc
143aa3850c
1524cd01d9
hex17aa8990

397052304 has 120 divisors (see below), whose sum is σ = 1137948000. Its totient is φ = 119201280.

The previous prime is 397052269. The next prime is 397052317. The reversal of 397052304 is 403250793.

It is a happy number.

It is a super-2 number, since 2×3970523042 = 315301064223416832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 23 ways as a sum of consecutive naturals, for example, 795447 + ... + 795945.

It is an arithmetic number, because the mean of its divisors is an integer number (9482900).

Almost surely, 2397052304 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 397052304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568974000).

397052304 is an abundant number, since it is smaller than the sum of its proper divisors (740895696).

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

397052304 is a wasteful number, since it uses less digits than its factorization.

397052304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 397052304 is about 19926.1713331990. The cubic root of 397052304 is about 734.9919347535.

The spelling of 397052304 in words is "three hundred ninety-seven million, fifty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 137 176 242 264 274 363 411 484 499 528 548 726 822 968 998 1096 1452 1497 1507 1644 1936 1996 2192 2904 2994 3014 3288 3992 4521 5489 5808 5988 6028 6576 7984 9042 10978 11976 12056 16467 16577 18084 21956 23952 24112 32934 33154 36168 43912 49731 60379 65868 66308 68363 72336 87824 99462 120758 131736 132616 136726 181137 198924 205089 241516 263472 265232 273452 362274 397848 410178 483032 546904 724548 751993 795696 820356 966064 1093808 1449096 1503986 1640712 2255979 2898192 3007972 3281424 4511958 6015944 8271923 9023916 12031888 16543846 18047832 24815769 33087692 36095664 49631538 66175384 99263076 132350768 198526152 397052304