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43134768 = 243483401
BaseRepresentation
bin1010010010001…
…0111100110000
310000011110210000
42210202330300
542020303033
64140310000
71032432225
oct244427460
9100143700
1043134768
1122391876
1212542300
138c23641
145a2b94c
153bc0a13
hex2922f30

43134768 has 100 divisors (see below), whose sum is σ = 126663768. Its totient is φ = 14169600.

The previous prime is 43134757. The next prime is 43134787. The reversal of 43134768 is 86743134.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (48384) is a multiple of the sum of its prime factors (504).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 107368 + ... + 107768.

Almost surely, 243134768 is an apocalyptic number.

43134768 is a gapful number since it is divisible by the number (48) 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 43134768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63331884).

43134768 is an abundant number, since it is smaller than the sum of its proper divisors (83529000).

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

43134768 is a wasteful number, since it uses less digits than its factorization.

43134768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 489 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 43134768 is about 6567.7064489820. The cubic root of 43134768 is about 350.7054289455.

The spelling of 43134768 in words is "forty-three million, one hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 83 108 144 162 166 216 249 324 332 401 432 498 648 664 747 802 996 1203 1296 1328 1494 1604 1992 2241 2406 2988 3208 3609 3984 4482 4812 5976 6416 6723 7218 8964 9624 10827 11952 13446 14436 17928 19248 21654 26892 28872 32481 33283 35856 43308 53784 57744 64962 66566 86616 99849 107568 129924 133132 173232 199698 259848 266264 299547 399396 519696 532528 599094 798792 898641 1198188 1597584 1797282 2396376 2695923 3594564 4792752 5391846 7189128 10783692 14378256 21567384 43134768