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43080323364 = 22341328872
BaseRepresentation
bin101000000111110010…
…011001000100100100
311010012100020011210000
4220013302121010210
51201212030321424
631442452501300
73053366464251
oct500762310444
9133170204700
1043080323364
11172a77a0631
12842361a830
1340a72ab400
142129722428
1511c21453c9
hexa07c99124

43080323364 has 135 divisors (see below), whose sum is σ = 122087622657. Its totient is φ = 13240539936.

The previous prime is 43080323359. The next prime is 43080323383. The reversal of 43080323364 is 46332308034.

The square root of 43080323364 is 207558.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6372828900 + 36707494464 = 79830^2 + 191592^2 .

It is a super-2 number, since 2×430803233642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 48568129 + ... + 48569015.

Almost surely, 243080323364 is an apocalyptic number.

43080323364 is the 207558-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43080323364

43080323364 is an abundant number, since it is smaller than the sum of its proper divisors (79007299293).

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

43080323364 is an equidigital number, since it uses as much as digits as its factorization.

43080323364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Multiplying 43080323364 by its sum of digits (36), we get a square (1550891641104 = 12453482).

43080323364 divided by its sum of digits (36) gives a square (1196675649 = 345932).

The spelling of 43080323364 in words is "forty-three billion, eighty million, three hundred twenty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 676 702 887 1014 1053 1404 1521 1774 2028 2106 2661 3042 3548 4212 4563 5322 6084 7983 9126 10644 11531 13689 15966 18252 23062 23949 27378 31932 34593 46124 47898 54756 69186 71847 95796 103779 138372 143694 149903 207558 287388 299806 311337 415116 449709 599612 622674 786769 899418 934011 1245348 1349127 1573538 1798836 1868022 2360307 2698254 3147076 3736044 4047381 4720614 5396508 7080921 8094762 9441228 10227997 12142143 14161842 16189524 20455994 21242763 24284286 28323684 30683991 40911988 42485526 48568572 61367982 63728289 84971052 92051973 122735964 127456578 132963961 184103946 254913156 265927922 276155919 368207892 398891883 531855844 552311838 797783766 828467757 1104623676 1196675649 1595567532 1656935514 2393351298 3313871028 3590026947 4786702596 7180053894 10770080841 14360107788 21540161682 43080323364