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3200144424 = 233596137049
BaseRepresentation
bin1011111010111110…
…0101010000101000
322021000122011212120
42332233211100220
523023214110144
61245314111240
7142205531061
oct27657452050
98230564776
103200144424
1113a2441964
1275387b520
133bccbc4a9
14225025568
1513ae2ae19
hexbebe5428

3200144424 has 64 divisors (see below), whose sum is σ = 8269560000. Its totient is φ = 1031416320.

The previous prime is 3200144411. The next prime is 3200144449. The reversal of 3200144424 is 4244410023.

It is a happy number.

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 = 3200144394 and 3200144403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67852 + ... + 104900.

It is an arithmetic number, because the mean of its divisors is an integer number (129211875).

Almost surely, 23200144424 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 3200144424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134780000).

3200144424 is an abundant number, since it is smaller than the sum of its proper divisors (5069415576).

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

3200144424 is a wasteful number, since it uses less digits than its factorization.

3200144424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37178 (or 37174 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3200144424 is about 56569.8190203928. The cubic root of 3200144424 is about 1473.6347683962.

Adding to 3200144424 its reverse (4244410023), we get a palindrome (7444554447).

The spelling of 3200144424 in words is "three billion, two hundred million, one hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 59 61 118 122 177 183 236 244 354 366 472 488 708 732 1416 1464 3599 7198 10797 14396 21594 28792 37049 43188 74098 86376 111147 148196 222294 296392 444588 889176 2185891 2259989 4371782 4519978 6557673 6779967 8743564 9039956 13115346 13559934 17487128 18079912 26230692 27119868 52461384 54239736 133339351 266678702 400018053 533357404 800036106 1066714808 1600072212 3200144424