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3434331030 = 2351311377929
BaseRepresentation
bin1100110010110011…
…1011101110010110
322212100022002111120
43030230323232112
524013142043110
61324441344410
7151051221624
oct31454735626
98770262446
103434331030
111502654809
127ba198106
13429686250
14248186514
15151789870
hexccb3bb96

3434331030 has 64 divisors (see below), whose sum is σ = 8955092160. Its totient is φ = 837881856.

The previous prime is 3434331029. The next prime is 3434331037. The reversal of 3434331030 is 301334343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434331037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5106 + ... + 83034.

It is an arithmetic number, because the mean of its divisors is an integer number (139923315).

Almost surely, 23434331030 is an apocalyptic number.

3434331030 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 3434331030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477546080).

3434331030 is an abundant number, since it is smaller than the sum of its proper divisors (5520761130).

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

3434331030 is a wasteful number, since it uses less digits than its factorization.

3434331030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78065.

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 3434331030 is about 58603.1656994739. The cubic root of 3434331030 is about 1508.7387725918.

Adding to 3434331030 its reverse (301334343), we get a palindrome (3735665373).

The spelling of 3434331030 in words is "three billion, four hundred thirty-four million, three hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 113 130 195 226 339 390 565 678 1130 1469 1695 2938 3390 4407 7345 8814 14690 22035 44070 77929 155858 233787 389645 467574 779290 1013077 1168935 2026154 2337870 3039231 5065385 6078462 8805977 10130770 15196155 17611954 26417931 30392310 44029885 52835862 88059770 114477701 132089655 228955402 264179310 343433103 572388505 686866206 1144777010 1717165515 3434331030