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1330432224 = 253112714649
BaseRepresentation
bin100111101001100…
…1100100011100000
310102201102221220120
41033103030203200
510211042312344
6340003440240
744653326102
oct11723144340
93381387816
101330432224
11622aa3470
12311686080
13182831904
14c89a3572
157bc02219
hex4f4cc8e0

1330432224 has 96 divisors (see below), whose sum is σ = 3824755200. Its totient is φ = 401587200.

The previous prime is 1330432163. The next prime is 1330432237. The reversal of 1330432224 is 4222340331.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1330432194 and 1330432203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283852 + ... + 288500.

It is an arithmetic number, because the mean of its divisors is an integer number (39841200).

Almost surely, 21330432224 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 1330432224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912377600).

1330432224 is an abundant number, since it is smaller than the sum of its proper divisors (2494322976).

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

1330432224 is a wasteful number, since it uses less digits than its factorization.

1330432224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4944 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1330432224 is about 36475.0904591065. The cubic root of 1330432224 is about 1099.8435656328.

Adding to 1330432224 its reverse (4222340331), we get a palindrome (5552772555).

The spelling of 1330432224 in words is "one billion, three hundred thirty million, four hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 271 352 528 542 813 1056 1084 1626 2168 2981 3252 4336 4649 5962 6504 8672 8943 9298 11924 13008 13947 17886 18596 23848 26016 27894 35772 37192 47696 51139 55788 71544 74384 95392 102278 111576 143088 148768 153417 204556 223152 286176 306834 409112 446304 613668 818224 1227336 1259879 1636448 2454672 2519758 3779637 4909344 5039516 7559274 10079032 13858669 15118548 20158064 27717338 30237096 40316128 41576007 55434676 60474192 83152014 110869352 120948384 166304028 221738704 332608056 443477408 665216112 1330432224