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3430311450 = 235247486569
BaseRepresentation
bin1100110001110110…
…0110011000011010
322212001201212200020
43030131212120122
524011124431300
61324215251310
7151002111006
oct31435463032
98761655606
103430311450
111500359845
127b8979b36
134288a97b7
1424781b706
151512438a0
hexcc76661a

3430311450 has 48 divisors (see below), whose sum is σ = 8688193920. Its totient is φ = 895285120.

The previous prime is 3430311449. The next prime is 3430311461. The reversal of 3430311450 is 541130343.

It is a happy number.

3430311450 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 2×34303114502 = 23534073288002205000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3430311450.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236235 + ... + 250334.

It is an arithmetic number, because the mean of its divisors is an integer number (181004040).

Almost surely, 23430311450 is an apocalyptic number.

3430311450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3430311450 is an abundant number, since it is smaller than the sum of its proper divisors (5257882470).

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

3430311450 is a wasteful number, since it uses less digits than its factorization.

3430311450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486631 (or 486626 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3430311450 is about 58568.8607538170. The cubic root of 3430311450 is about 1508.1499278098.

Adding to 3430311450 its reverse (541130343), we get a palindrome (3971441793).

It can be divided in two parts, 34303 and 11450, that added together give a triangular number (45753 = T302).

The spelling of 3430311450 in words is "three billion, four hundred thirty million, three hundred eleven thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 470 705 1175 1410 2350 3525 7050 486569 973138 1459707 2432845 2919414 4865690 7298535 12164225 14597070 22868743 24328450 36492675 45737486 68606229 72985350 114343715 137212458 228687430 343031145 571718575 686062290 1143437150 1715155725 3430311450