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3301001430 = 2354119114051
BaseRepresentation
bin1100010011000001…
…0100100011010110
322112001102020200020
43010300110203112
523230024021210
61303315530010
7144542022606
oct30460244326
98461366606
103301001430
111444369261
127815b9906
13407b730ac
1423459ac06
15144bee770
hexc4c148d6

3301001430 has 64 divisors (see below), whose sum is σ = 8158703616. Its totient is φ = 854240000.

The previous prime is 3301001393. The next prime is 3301001441. The reversal of 3301001430 is 341001033.

It is a super-2 number, since 2×33010014302 = 21793220881724089800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 227905 + ... + 241955.

It is an arithmetic number, because the mean of its divisors is an integer number (127479744).

Almost surely, 23301001430 is an apocalyptic number.

3301001430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3301001430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4079351808).

3301001430 is an abundant number, since it is smaller than the sum of its proper divisors (4857702186).

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

3301001430 is a wasteful number, since it uses less digits than its factorization.

3301001430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14293.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3301001430 is about 57454.3421335585. The cubic root of 3301001430 is about 1488.9561371716.

Adding to 3301001430 its reverse (341001033), we get a palindrome (3642002463).

The spelling of 3301001430 in words is "three billion, three hundred one million, one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 191 205 246 382 410 573 615 955 1146 1230 1910 2865 5730 7831 14051 15662 23493 28102 39155 42153 46986 70255 78310 84306 117465 140510 210765 234930 421530 576091 1152182 1728273 2683741 2880455 3456546 5367482 5760910 8051223 8641365 13418705 16102446 17282730 26837410 40256115 80512230 110033381 220066762 330100143 550166905 660200286 1100333810 1650500715 3301001430