Search a number
-
+
332093856 = 25319971877
BaseRepresentation
bin10011110010110…
…101100110100000
3212010220010010110
4103302311212200
51140004000411
652541531320
711141515443
oct2362654640
9763803113
10332093856
11160505036
1293273b40
1353a56b53
143216965a
151e24d2a6
hex13cb59a0

332093856 has 96 divisors (see below), whose sum is σ = 927581760. Its totient is φ = 103735296.

The previous prime is 332093807. The next prime is 332093857. The reversal of 332093856 is 658390233.

332093856 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3320938562 = 220572658385897472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332093857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175990 + ... + 177866.

It is an arithmetic number, because the mean of its divisors is an integer number (9662310).

Almost surely, 2332093856 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 332093856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463790880).

332093856 is an abundant number, since it is smaller than the sum of its proper divisors (595487904).

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

332093856 is a wasteful number, since it uses less digits than its factorization.

332093856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 332093856 is about 18223.4424848874. The cubic root of 332093856 is about 692.5008013475.

The spelling of 332093856 in words is "three hundred thirty-two million, ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 97 114 152 194 228 291 304 388 456 582 608 776 912 1164 1552 1824 1843 1877 2328 3104 3686 3754 4656 5529 5631 7372 7508 9312 11058 11262 14744 15016 22116 22524 29488 30032 35663 44232 45048 58976 60064 71326 88464 90096 106989 142652 176928 180192 182069 213978 285304 364138 427956 546207 570608 728276 855912 1092414 1141216 1456552 1711824 2184828 2913104 3423648 3459311 4369656 5826208 6918622 8739312 10377933 13837244 17478624 20755866 27674488 41511732 55348976 83023464 110697952 166046928 332093856