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1430970168 = 233314344729
BaseRepresentation
bin101010101001010…
…1101111100111000
310200201121211001010
41111102231330320
510412312021133
6353554353520
750314021455
oct12522557470
93621554033
101430970168
11674822081
1233b28b8a0
1319a603214
14d809482c
1585961263
hex554adf38

1430970168 has 64 divisors (see below), whose sum is σ = 3778790400. Its totient is φ = 450858240.

The previous prime is 1430970133. The next prime is 1430970169. The reversal of 1430970168 is 8610790341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430970169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9628 + ... + 54356.

It is an arithmetic number, because the mean of its divisors is an integer number (59043600).

Almost surely, 21430970168 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 1430970168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889395200).

1430970168 is an abundant number, since it is smaller than the sum of its proper divisors (2347820232).

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

1430970168 is a wasteful number, since it uses less digits than its factorization.

1430970168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44812 (or 44808 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1430970168 is about 37828.1663314520. The cubic root of 1430970168 is about 1126.8778954980.

The spelling of 1430970168 in words is "one billion, four hundred thirty million, nine hundred seventy thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 43 62 86 93 124 129 172 186 248 258 344 372 516 744 1032 1333 2666 3999 5332 7998 10664 15996 31992 44729 89458 134187 178916 268374 357832 536748 1073496 1386599 1923347 2773198 3846694 4159797 5546396 5770041 7693388 8319594 11092792 11540082 15386776 16639188 23080164 33278376 46160328 59623757 119247514 178871271 238495028 357742542 476990056 715485084 1430970168