Search a number
-
+
3943434880 = 27571180021
BaseRepresentation
bin1110101100001100…
…0000101010000000
3101011211021020200201
43223003000222000
531034004404010
61451145254544
7166502433460
oct35303005200
911154236621
103943434880
111743a69aa0
12920794454
134aaca8028
14295a2bba0
1518130023a
hexeb0c0a80

3943434880 has 128 divisors (see below), whose sum is σ = 11753631360. Its totient is φ = 1229107200.

The previous prime is 3943434823. The next prime is 3943434883. The reversal of 3943434880 is 884343493.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×39434348802 = 31101357305601228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3943434880.

It is not an unprimeable number, because it can be changed into a prime (3943434883) by changing a digit.

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, 9270 + ... + 89290.

It is an arithmetic number, because the mean of its divisors is an integer number (91825245).

Almost surely, 23943434880 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 3943434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5876815680).

3943434880 is an abundant number, since it is smaller than the sum of its proper divisors (7810196480).

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

3943434880 is a wasteful number, since it uses less digits than its factorization.

3943434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80058 (or 80046 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The square root of 3943434880 is about 62796.7744394567. The cubic root of 3943434880 is about 1579.8828733343.

The spelling of 3943434880 in words is "three billion, nine hundred forty-three million, four hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1408 1540 1760 2240 2464 3080 3520 4480 4928 6160 7040 9856 12320 24640 49280 80021 160042 320084 400105 560147 640168 800210 880231 1120294 1280336 1600420 1760462 2240588 2560672 2800735 3200840 3520924 4401155 4481176 5121344 5601470 6161617 6401680 7041848 8802310 8962352 10242688 11202940 12323234 12803360 14083696 17604620 17924704 22405880 24646468 25606720 28167392 30808085 35209240 35849408 44811760 49292936 51213440 56334784 61616170 70418480 71698816 89623520 98585872 112669568 123232340 140836960 179247040 197171744 246464680 281673920 358494080 394343488 492929360 563347840 788686976 985858720 1971717440 3943434880