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1430690688 = 273576571
BaseRepresentation
bin101010101000110…
…1001101110000000
310200201002121200000
41111101221232000
510412224100223
6353544400000
750311445610
oct12521515600
93621077600
101430690688
116746510a9
1233b176000
1319a535c4b
14d8020a40
1585908543
hex55469b80

1430690688 has 192 divisors, whose sum is σ = 4880104320. Its totient is φ = 408706560.

The previous prime is 1430690663. The next prime is 1430690759. The reversal of 1430690688 is 8860960341.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 214443 + ... + 221013.

It is an arithmetic number, because the mean of its divisors is an integer number (25417210).

Almost surely, 21430690688 is an apocalyptic number.

1430690688 is a gapful number since it is divisible by the number (18) 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 1430690688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440052160).

1430690688 is an abundant number, since it is smaller than the sum of its proper divisors (3449413632).

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

1430690688 is an frugal number, since it uses more digits than its factorization.

1430690688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6607 (or 6583 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1430690688 is about 37824.4720782723. The cubic root of 1430690688 is about 1126.8045279447.

The spelling of 1430690688 in words is "one billion, four hundred thirty million, six hundred ninety thousand, six hundred eighty-eight".