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1014305430 = 2353110710193
BaseRepresentation
bin111100011101010…
…001001010010110
32121200121001110210
4330131101022112
54034130233210
6244352030250
734064311455
oct7435211226
92550531423
101014305430
11480604756
12243832386
131321a8638
14989d2b9c
155e0a9e20
hex3c751296

1014305430 has 64 divisors (see below), whose sum is σ = 2536593408. Its totient is φ = 259284480.

The previous prime is 1014305423. The next prime is 1014305471. The reversal of 1014305430 is 345034101.

1014305430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1014305397 and 1014305406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94414 + ... + 104606.

It is an arithmetic number, because the mean of its divisors is an integer number (39634272).

Almost surely, 21014305430 is an apocalyptic number.

1014305430 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 1014305430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268296704).

1014305430 is an abundant number, since it is smaller than the sum of its proper divisors (1522287978).

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

1014305430 is a wasteful number, since it uses less digits than its factorization.

1014305430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10341.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1014305430 is about 31848.1621133779. The cubic root of 1014305430 is about 1004.7459173037.

Adding to 1014305430 its reverse (345034101), we get a palindrome (1359339531).

The spelling of 1014305430 in words is "one billion, fourteen million, three hundred five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 107 155 186 214 310 321 465 535 642 930 1070 1605 3210 3317 6634 9951 10193 16585 19902 20386 30579 33170 49755 50965 61158 99510 101930 152895 305790 315983 631966 947949 1090651 1579915 1895898 2181302 3159830 3271953 4739745 5453255 6543906 9479490 10906510 16359765 32719530 33810181 67620362 101430543 169050905 202861086 338101810 507152715 1014305430