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3423210320 = 245179277863
BaseRepresentation
bin1100110000001010…
…0000101101010000
322211120101002202102
43030002200231100
524002320212240
61323403135532
7150554544005
oct31402405520
98746332672
103423210320
1114a7349642
127b65145a8
1342729154a
142468cd8ac
151507de815
hexcc0a0b50

3423210320 has 80 divisors (see below), whose sum is σ = 8041628160. Its totient is φ = 1355146752.

The previous prime is 3423210319. The next prime is 3423210379. The reversal of 3423210320 is 230123243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3423210292 and 3423210301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3966209 + ... + 3967071.

It is an arithmetic number, because the mean of its divisors is an integer number (100520352).

Almost surely, 23423210320 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 3423210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020814080).

3423210320 is an abundant number, since it is smaller than the sum of its proper divisors (4618417840).

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

3423210320 is a wasteful number, since it uses less digits than its factorization.

3423210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3423210320 is about 58508.2072875251. The cubic root of 3423210320 is about 1507.1085289585.

Adding to 3423210320 its reverse (230123243), we get a palindrome (3653333563).

The spelling of 3423210320 in words is "three billion, four hundred twenty-three million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 277 358 554 716 863 895 1108 1385 1432 1726 1790 2216 2770 2864 3452 3580 4315 4432 5540 6904 7160 8630 11080 13808 14320 17260 22160 34520 49583 69040 99166 154477 198332 239051 247915 308954 396664 478102 495830 617908 772385 793328 956204 991660 1195255 1235816 1544770 1912408 1983320 2390510 2471632 3089540 3824816 3966640 4781020 6179080 9562040 12358160 19124080 42790129 85580258 171160516 213950645 342321032 427901290 684642064 855802580 1711605160 3423210320