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3430434012 = 2231729718167
BaseRepresentation
bin1100110001111000…
…0100010011011100
322212001222002210120
43030132010103130
524011142342022
61324222034540
7151003131225
oct31436042334
98761862716
103430434012
111500432935
127b8a18a50
13428920515
1424785024c
15151269d5c
hexcc7844dc

3430434012 has 96 divisors (see below), whose sum is σ = 8892011520. Its totient is φ = 1024343040.

The previous prime is 3430434011. The next prime is 3430434023. The reversal of 3430434012 is 2104340343.

It is a super-2 number, since 2×34304340122 = 23535755021372832288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430434011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415953 + ... + 424119.

It is an arithmetic number, because the mean of its divisors is an integer number (92625120).

Almost surely, 23430434012 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 3430434012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446005760).

3430434012 is an abundant number, since it is smaller than the sum of its proper divisors (5461577508).

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

3430434012 is a wasteful number, since it uses less digits than its factorization.

3430434012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8291 (or 8289 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3430434012 is about 58569.9070513177. The cubic root of 3430434012 is about 1508.1678892178.

Adding to 3430434012 its reverse (2104340343), we get a palindrome (5534774355).

The spelling of 3430434012 in words is "three billion, four hundred thirty million, four hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 71 87 102 116 142 174 204 213 284 348 426 493 852 986 1207 1479 1972 2059 2414 2958 3621 4118 4828 5916 6177 7242 8167 8236 12354 14484 16334 24501 24708 32668 35003 49002 70006 98004 105009 138839 140012 210018 236843 277678 416517 420036 473686 555356 579857 710529 833034 947372 1159714 1421058 1666068 1739571 2319428 2842116 3479142 4026331 6958284 8052662 9857569 12078993 16105324 16815853 19715138 24157986 29572707 33631706 39430276 48315972 50447559 59145414 67263412 100895118 118290828 201790236 285869501 571739002 857608503 1143478004 1715217006 3430434012