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1630464352 = 2511338281
BaseRepresentation
bin110000100101110…
…1110100101100000
311012122000011121121
41201023232211200
511314344324402
6425442302024
755255501246
oct14113564540
94178004547
101630464352
1176739a000
12396057914
131cca4120a
14116784796
159821a837
hex612ee960

1630464352 has 48 divisors (see below), whose sum is σ = 3530825424. Its totient is φ = 741100800.

The previous prime is 1630464349. The next prime is 1630464359. The reversal of 1630464352 is 2534640361.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630464359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23452 + ... + 61732.

It is an arithmetic number, because the mean of its divisors is an integer number (73558863).

Almost surely, 21630464352 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 1630464352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765412712).

1630464352 is an abundant number, since it is smaller than the sum of its proper divisors (1900361072).

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

1630464352 is an equidigital number, since it uses as much as digits as its factorization.

1630464352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38324 (or 38294 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 1630464352 is about 40379.0088040804. The cubic root of 1630464352 is about 1176.9836664691.

It can be divided in two parts, 16304 and 64352, that added together give a square (80656 = 2842).

The spelling of 1630464352 in words is "one billion, six hundred thirty million, four hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1331 1936 2662 3872 5324 10648 21296 38281 42592 76562 153124 306248 421091 612496 842182 1224992 1684364 3368728 4632001 6737456 9264002 13474912 18528004 37056008 50952011 74112016 101904022 148224032 203808044 407616088 815232176 1630464352