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3230143440 = 243559922469
BaseRepresentation
bin1100000010001000…
…0001001111010000
322100010002021210020
43000202001033100
523103404042230
61252305103440
7143021523546
oct30042011720
98303067706
103230143440
111408371637
12761927b80
133c6293ba4
14228dd3d96
1513d8a4810
hexc08813d0

3230143440 has 80 divisors (see below), whose sum is σ = 10030608000. Its totient is φ = 859895296.

The previous prime is 3230143421. The next prime is 3230143447. The reversal of 3230143440 is 443410323.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3230143440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3230143447) 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, 132526 + ... + 154994.

It is an arithmetic number, because the mean of its divisors is an integer number (125382600).

Almost surely, 23230143440 is an apocalyptic number.

3230143440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3230143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015304000).

3230143440 is an abundant number, since it is smaller than the sum of its proper divisors (6800464560).

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

3230143440 is a wasteful number, since it uses less digits than its factorization.

3230143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23084 (or 23078 counting only the distinct ones).

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

The square root of 3230143440 is about 56834.3508804315. The cubic root of 3230143440 is about 1478.2252039246.

Adding to 3230143440 its reverse (443410323), we get a palindrome (3673553763).

The spelling of 3230143440 in words is "three billion, two hundred thirty million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 599 1198 1797 2396 2995 3594 4792 5990 7188 8985 9584 11980 14376 17970 22469 23960 28752 35940 44938 47920 67407 71880 89876 112345 134814 143760 179752 224690 269628 337035 359504 449380 539256 674070 898760 1078512 1348140 1797520 2696280 5392560 13458931 26917862 40376793 53835724 67294655 80753586 107671448 134589310 161507172 201883965 215342896 269178620 323014344 403767930 538357240 646028688 807535860 1076714480 1615071720 3230143440