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4312132320 = 253534925741
BaseRepresentation
bin1000000010000010…
…11110101011100000
3102010112001000111110
410001001132223200
532312401213240
61551515543320
7211600343226
oct40101365340
912115030443
104312132320
1119130a4921
12a0415ab40
135394a97b2
142cc9a4b16
151a387dc80
hex10105eae0

4312132320 has 96 divisors (see below), whose sum is σ = 13622666400. Its totient is φ = 1146562560.

The previous prime is 4312132313. The next prime is 4312132337. The reversal of 4312132320 is 232312134.

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

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, 154650 + ... + 180390.

It is an arithmetic number, because the mean of its divisors is an integer number (141902775).

Almost surely, 24312132320 is an apocalyptic number.

4312132320 is a gapful number since it is divisible by the number (40) 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 4312132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6811333200).

4312132320 is an abundant number, since it is smaller than the sum of its proper divisors (9310534080).

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

4312132320 is a wasteful number, since it uses less digits than its factorization.

4312132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26108 (or 26100 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 4312132320 is about 65666.8281554698. The cubic root of 4312132320 is about 1627.6612575910.

Adding to 4312132320 its reverse (232312134), we get a palindrome (4544444454).

The spelling of 4312132320 in words is "four billion, three hundred twelve million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 349 480 698 1047 1396 1745 2094 2792 3490 4188 5235 5584 6980 8376 10470 11168 13960 16752 20940 25741 27920 33504 41880 51482 55840 77223 83760 102964 128705 154446 167520 205928 257410 308892 386115 411856 514820 617784 772230 823712 1029640 1235568 1544460 2059280 2471136 3088920 4118560 6177840 8983609 12355680 17967218 26950827 35934436 44918045 53901654 71868872 89836090 107803308 134754135 143737744 179672180 215606616 269508270 287475488 359344360 431213232 539016540 718688720 862426464 1078033080 1437377440 2156066160 4312132320