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4342207632 = 243725151487
BaseRepresentation
bin1000000101101000…
…01101010010010000
3102012121122000001220
410002310031102100
532343101121012
61554512325040
7212414104320
oct40264152220
912177560056
104342207632
111929076954
12a12243780
135427a9b39
142d2993280
151a632008c
hex102d0d490

4342207632 has 80 divisors (see below), whose sum is σ = 12871176192. Its totient is φ = 1235664000.

The previous prime is 4342207627. The next prime is 4342207637. The reversal of 4342207632 is 2367022434.

It is an interprime number because it is at equal distance from previous prime (4342207627) and next prime (4342207637).

It is a junction number, because it is equal to n+sod(n) for n = 4342207593 and 4342207602.

It is not an unprimeable number, because it can be changed into a prime (4342207637) 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, 58593 + ... + 110079.

Almost surely, 24342207632 is an apocalyptic number.

4342207632 is a gapful number since it is divisible by the number (42) 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 4342207632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435588096).

4342207632 is an abundant number, since it is smaller than the sum of its proper divisors (8528968560).

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

4342207632 is a wasteful number, since it uses less digits than its factorization.

4342207632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51756 (or 51750 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The square root of 4342207632 is about 65895.4295228432. The cubic root of 4342207632 is about 1631.4365786265.

The spelling of 4342207632 in words is "four billion, three hundred forty-two million, two hundred seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 251 336 502 753 1004 1506 1757 2008 3012 3514 4016 5271 6024 7028 10542 12048 14056 21084 28112 42168 51487 84336 102974 154461 205948 308922 360409 411896 617844 720818 823792 1081227 1235688 1441636 2162454 2471376 2883272 4324908 5766544 8649816 12923237 17299632 25846474 38769711 51692948 77539422 90462659 103385896 155078844 180925318 206771792 271387977 310157688 361850636 542775954 620315376 723701272 1085551908 1447402544 2171103816 4342207632