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6434299840 = 265194324611
BaseRepresentation
bin1011111111000001…
…11001111111000000
3121121102021022001111
411333200321333000
5101134140043330
62542245213104
7315306434443
oct57740717700
917542238044
106434299840
112801aa3781
1212b6a01194
137b7059517
1445078165a
15279d2432a
hex17f839fc0

6434299840 has 112 divisors (see below), whose sum is σ = 16503822720. Its totient is φ = 2381460480.

The previous prime is 6434299831. The next prime is 6434299843. The reversal of 6434299840 is 489924346.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6434299843) 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 15 ways as a sum of consecutive naturals, for example, 249135 + ... + 273745.

It is an arithmetic number, because the mean of its divisors is an integer number (147355560).

Almost surely, 26434299840 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 6434299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8251911360).

6434299840 is an abundant number, since it is smaller than the sum of its proper divisors (10069522880).

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

6434299840 is a wasteful number, since it uses less digits than its factorization.

6434299840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24690 (or 24680 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

The square root of 6434299840 is about 80214.0875407805. The cubic root of 6434299840 is about 1859.9464122997.

The spelling of 6434299840 in words is "six billion, four hundred thirty-four million, two hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 43 64 76 80 86 95 152 160 172 190 215 304 320 344 380 430 608 688 760 817 860 1216 1376 1520 1634 1720 2752 3040 3268 3440 4085 6080 6536 6880 8170 13072 13760 16340 24611 26144 32680 49222 52288 65360 98444 123055 130720 196888 246110 261440 393776 467609 492220 787552 935218 984440 1058273 1575104 1870436 1968880 2116546 2338045 3740872 3937760 4233092 4676090 5291365 7481744 7875520 8466184 9352180 10582730 14963488 16932368 18704360 20107187 21165460 29926976 33864736 37408720 40214374 42330920 67729472 74817440 80428748 84661840 100535935 149634880 160857496 169323680 201071870 321714992 338647360 402143740 643429984 804287480 1286859968 1608574960 3217149920 6434299840