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1241434432 = 26731711259
BaseRepresentation
bin100100111111110…
…1100100101000000
310012111222101220001
41021333230211000
510020301400212
6323104125344
742523006240
oct11177544500
93174871801
101241434432
11587837077
122a7906854
1316a270bb4
14bac37b20
1573ec2657
hex49fec940

1241434432 has 112 divisors (see below), whose sum is σ = 2949488640. Its totient is φ = 507225600.

The previous prime is 1241434427. The next prime is 1241434433. The reversal of 1241434432 is 2344341421.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1241434432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241434433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 985419 + ... + 986677.

It is an arithmetic number, because the mean of its divisors is an integer number (26334720).

Almost surely, 21241434432 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 1241434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474744320).

1241434432 is an abundant number, since it is smaller than the sum of its proper divisors (1708054208).

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

1241434432 is a wasteful number, since it uses less digits than its factorization.

1241434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1370 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 1241434432 is about 35233.9954021681. The cubic root of 1241434432 is about 1074.7511757258.

Adding to 1241434432 its reverse (2344341421), we get a palindrome (3585775853).

The spelling of 1241434432 in words is "one billion, two hundred forty-one million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 71 112 124 142 217 224 248 284 434 448 496 497 568 868 992 994 1136 1259 1736 1984 1988 2201 2272 2518 3472 3976 4402 4544 5036 6944 7952 8804 8813 10072 13888 15407 15904 17608 17626 20144 30814 31808 35216 35252 39029 40288 61628 70432 70504 78058 80576 89389 123256 140864 141008 156116 178778 246512 273203 282016 312232 357556 493024 546406 564032 624464 625723 715112 986048 1092812 1248928 1251446 1430224 2185624 2497856 2502892 2771059 2860448 4371248 5005784 5542118 5720896 8742496 10011568 11084236 17484992 19397413 20023136 22168472 38794826 40046272 44336944 77589652 88673888 155179304 177347776 310358608 620717216 1241434432