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5034344000 = 2653789899
BaseRepresentation
bin1001011000001000…
…11111111001000000
3110222212000011200012
410230010133321000
540302243002000
62151315244052
7235520134520
oct45404377100
913885004605
105034344000
112153835184
12b85ba9628
13622cc4b9a
1435a881680
151e6e8c735
hex12c11fe40

5034344000 has 112 divisors (see below), whose sum is σ = 14248790400. Its totient is φ = 1726041600.

The previous prime is 5034343999. The next prime is 5034344009. The reversal of 5034344000 is 4434305.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (5034344009) 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, 11051 + ... + 100949.

Almost surely, 25034344000 is an apocalyptic number.

5034344000 is a gapful number since it is divisible by the number (50) 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 5034344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124395200).

5034344000 is an abundant number, since it is smaller than the sum of its proper divisors (9214446400).

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

5034344000 is an equidigital number, since it uses as much as digits as its factorization.

5034344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89933 (or 89913 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 5034344000 is about 70953.1112778009. Note that the first 3 decimals coincide. The cubic root of 5034344000 is about 1713.8821775031.

Adding to 5034344000 its reverse (4434305), we get a palindrome (5038778305).

The spelling of 5034344000 in words is "five billion, thirty-four million, three hundred forty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 700 800 875 1000 1120 1400 1600 1750 2000 2240 2800 3500 4000 5600 7000 8000 11200 14000 28000 56000 89899 179798 359596 449495 629293 719192 898990 1258586 1438384 1797980 2247475 2517172 2876768 3146465 3595960 4494950 5034344 5753536 6292930 7191920 8989900 10068688 11237375 12585860 14383840 15732325 17979800 20137376 22474750 25171720 28767680 31464650 35959600 40274752 44949500 50343440 62929300 71919200 78661625 89899000 100686880 125858600 143838400 157323250 179798000 201373760 251717200 314646500 359596000 503434400 629293000 719192000 1006868800 1258586000 2517172000 5034344000