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1064423430 = 23457227827
BaseRepresentation
bin111111011100011…
…101000000000110
32202011220022110000
4333130131000012
54134443022210
6253342142130
735243310210
oct7734350006
92664808400
101064423430
114a6926094
12258581946
1313c6a5665
14a151b5b0
15636a9ac0
hex3f71d006

1064423430 has 160 divisors (see below), whose sum is σ = 3289372416. Its totient is φ = 241932096.

The previous prime is 1064423413. The next prime is 1064423443. The reversal of 1064423430 is 343244601.

1064423430 is a `hidden beast` number, since 10 + 644 + 2 + 3 + 4 + 3 + 0 = 666.

1064423430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10644234302 = 2265994476665929800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1064423394 and 1064423403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1286677 + ... + 1287503.

Almost surely, 21064423430 is an apocalyptic number.

1064423430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064423430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644686208).

1064423430 is an abundant number, since it is smaller than the sum of its proper divisors (2224948986).

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

1064423430 is a wasteful number, since it uses less digits than its factorization.

1064423430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1064423430 is about 32625.5027547469. The cubic root of 1064423430 is about 1021.0291515769.

The spelling of 1064423430 in words is "one billion, sixty-four million, four hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 227 270 315 378 405 454 567 630 681 810 827 945 1134 1135 1362 1589 1654 1890 2043 2270 2481 2835 3178 3405 4086 4135 4767 4962 5670 5789 6129 6810 7443 7945 8270 9534 10215 11578 12258 12405 14301 14886 15890 17367 18387 20430 22329 23835 24810 28602 28945 30645 34734 36774 37215 42903 44658 47670 52101 57890 61290 66987 71505 74430 85806 86835 91935 104202 111645 128709 133974 143010 156303 173670 183870 187729 214515 223290 257418 260505 312606 334935 375458 429030 468909 521010 563187 643545 669870 781515 937818 938645 1126374 1287090 1314103 1563030 1689561 1877290 2344545 2628206 2815935 3379122 3942309 4689090 5068683 5631870 6570515 7884618 8447805 10137366 11826927 13141030 15206049 16895610 19711545 23653854 25343415 30412098 35480781 39423090 50686830 59134635 70961562 76030245 106442343 118269270 152060490 177403905 212884686 354807810 532211715 1064423430