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1630340352 = 2833235871
BaseRepresentation
bin110000100101101…
…0000010100000000
311012121202212112000
41201023100110000
511314331342402
6425435504000
755254443604
oct14113202400
94177685460
101630340352
11767314923
12395bb8000
131cc9c9944
14116751504
15981e3c1c
hex612d0500

1630340352 has 72 divisors (see below), whose sum is σ = 4821223680. Its totient is φ = 543444480.

The previous prime is 1630340321. The next prime is 1630340407. The reversal of 1630340352 is 2530430361.

It is a happy number.

1630340352 is a `hidden beast` number, since 1 + 6 + 303 + 4 + 0 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111024 + ... + 124847.

It is an arithmetic number, because the mean of its divisors is an integer number (66961440).

Almost surely, 21630340352 is an apocalyptic number.

1630340352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1630340352 is an abundant number, since it is smaller than the sum of its proper divisors (3190883328).

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

1630340352 is an equidigital number, since it uses as much as digits as its factorization.

1630340352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235896 (or 235876 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1630340352 is about 40377.4733236244. The cubic root of 1630340352 is about 1176.9538284101.

Subtracting 1630340352 from its reverse (2530430361), we obtain a palindrome (900090009).

The spelling of 1630340352 in words is "one billion, six hundred thirty million, three hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 235871 471742 707613 943484 1415226 1886968 2122839 2830452 3773936 4245678 5660904 6368517 7547872 8491356 11321808 12737034 15095744 16982712 22643616 25474068 30191488 33965424 45287232 50948136 60382976 67930848 90574464 101896272 135861696 181148928 203792544 271723392 407585088 543446784 815170176 1630340352