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2434303104 = 273191093061
BaseRepresentation
bin1001000100011000…
…1000010010000000
320021122120102002020
42101012020102000
514441140144404
61041315321440
7114216143412
oct22106102200
96248512066
102434303104
11103a111a52
1257b2b0280
132ca43944c
1419142c9b2
15e3a9eed9
hex91188480

2434303104 has 128 divisors (see below), whose sum is σ = 6871128000. Its totient is φ = 761425920.

The previous prime is 2434303097. The next prime is 2434303129. The reversal of 2434303104 is 4013034342.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 793734 + ... + 796794.

Almost surely, 22434303104 is an apocalyptic number.

2434303104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435564000).

2434303104 is an abundant number, since it is smaller than the sum of its proper divisors (4436824896).

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

2434303104 is a wasteful number, since it uses less digits than its factorization.

2434303104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3194 counting only the distinct ones).

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

The square root of 2434303104 is about 49338.6572983092. The cubic root of 2434303104 is about 1345.2145342159.

Adding to 2434303104 its reverse (4013034342), we get a palindrome (6447337446).

The spelling of 2434303104 in words is "two billion, four hundred thirty-four million, three hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 109 114 128 152 192 218 228 304 327 384 436 456 608 654 872 912 1216 1308 1744 1824 2071 2432 2616 3061 3488 3648 4142 5232 6122 6213 6976 7296 8284 9183 10464 12244 12426 13952 16568 18366 20928 24488 24852 33136 36732 41856 48976 49704 58159 66272 73464 97952 99408 116318 132544 146928 174477 195904 198816 232636 265088 293856 333649 348954 391808 397632 465272 587712 667298 697908 795264 930544 1000947 1175424 1334596 1395816 1861088 2001894 2669192 2791632 3722176 4003788 5338384 5583264 6339331 7444352 8007576 10676768 11166528 12678662 16015152 19017993 21353536 22333056 25357324 32030304 38035986 42707072 50714648 64060608 76071972 101429296 128121216 152143944 202858592 304287888 405717184 608575776 811434368 1217151552 2434303104