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1630842416 = 24723633091
BaseRepresentation
bin110000100110100…
…1010111000110000
311012122201101012222
41201031022320300
511314443424131
6425454340212
755261634420
oct14115127060
94178641188
101630842416
11767628055
123961ba668
131ccb44318
14116842480
159829287b
hex6134ae30

1630842416 has 40 divisors (see below), whose sum is σ = 3768163584. Its totient is φ = 668543040.

The previous prime is 1630842407. The next prime is 1630842461. The reversal of 1630842416 is 6142480361.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313970 + ... + 319121.

Almost surely, 21630842416 is an apocalyptic number.

1630842416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1630842416 is an abundant number, since it is smaller than the sum of its proper divisors (2137321168).

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

1630842416 is a wasteful number, since it uses less digits than its factorization.

1630842416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633129 (or 633123 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 1630842416 is about 40383.6899750382. The cubic root of 1630842416 is about 1177.0746304868.

The spelling of 1630842416 in words is "one billion, six hundred thirty million, eight hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2576 633091 1266182 2532364 4431637 5064728 8863274 10129456 14561093 17726548 29122186 35453096 58244372 70906192 101927651 116488744 203855302 232977488 407710604 815421208 1630842416