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3423133504 = 26730724889
BaseRepresentation
bin1100110000001000…
…1101111101000000
322211120020012101101
43030002031331000
524002310233004
61323401344144
7150554104030
oct31402157500
98746205341
103423133504
1114a72a695a
127b6498054
134272655ab
142468ad8c0
151507c6ba4
hexcc08df40

3423133504 has 56 divisors (see below), whose sum is σ = 7788777920. Its totient is φ = 1462219776.

The previous prime is 3423133487. The next prime is 3423133507. The reversal of 3423133504 is 4053313243.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423133507) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 125092 + ... + 149980.

It is an arithmetic number, because the mean of its divisors is an integer number (139085320).

Almost surely, 23423133504 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 3423133504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894388960).

3423133504 is an abundant number, since it is smaller than the sum of its proper divisors (4365644416).

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

3423133504 is a wasteful number, since it uses less digits than its factorization.

3423133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25215 (or 25205 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 3423133504 is about 58507.5508289315. The cubic root of 3423133504 is about 1507.0972558256.

Adding to 3423133504 its reverse (4053313243), we get a palindrome (7476446747).

The spelling of 3423133504 in words is "three billion, four hundred twenty-three million, one hundred thirty-three thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 307 448 614 1228 2149 2456 4298 4912 8596 9824 17192 19648 24889 34384 49778 68768 99556 137536 174223 199112 348446 398224 696892 796448 1393784 1592896 2787568 5575136 7640923 11150272 15281846 30563692 53486461 61127384 106972922 122254768 213945844 244509536 427891688 489019072 855783376 1711566752 3423133504