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630801024 = 2737234673
BaseRepresentation
bin100101100110010…
…100001010000000
31121221222000022220
4211212110022000
52242441113044
6142332131040
721426502020
oct4546241200
91557860286
10630801024
112a4086167
12157306a80
13a08c1359
145dac3a80
153a5a4019
hex25994280

630801024 has 64 divisors (see below), whose sum is σ = 1914939840. Its totient is φ = 180228096.

The previous prime is 630801023. The next prime is 630801137. The reversal of 630801024 is 420108036.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 630800985 and 630801003.

It is not an unprimeable number, because it can be changed into a prime (630801023) 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, 114649 + ... + 120024.

It is an arithmetic number, because the mean of its divisors is an integer number (29920935).

Almost surely, 2630801024 is an apocalyptic number.

630801024 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

630801024 is an abundant number, since it is smaller than the sum of its proper divisors (1284138816).

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

630801024 is a wasteful number, since it uses less digits than its factorization.

630801024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234697 (or 234685 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 630801024 is about 25115.7525071418. The cubic root of 630801024 is about 857.6250609926.

The spelling of 630801024 in words is "six hundred thirty million, eight hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 234673 469346 704019 938692 1408038 1642711 1877384 2816076 3285422 3754768 4928133 5632152 6570844 7509536 9856266 11264304 13141688 15019072 19712532 22528608 26283376 30038144 39425064 45057216 52566752 78850128 90114432 105133504 157700256 210267008 315400512 630801024