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5344004435 = 5721129101677
BaseRepresentation
bin1001111101000011…
…10000100101010011
3111210102200112221012
410332201300211103
541421031120220
62242140321135
7246300200600
oct47641604523
914712615835
105344004435
1122a26076a0
1210518431ab
136721c5b03
14389a4b6a7
15214258ac5
hex13e870953

5344004435 has 96 divisors (see below), whose sum is σ = 8514486720. Its totient is φ = 3179904000.

The previous prime is 5344004431. The next prime is 5344004443.

5344004435 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5344004435 - 22 = 5344004431 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5344004431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7893317 + ... + 7893993.

It is an arithmetic number, because the mean of its divisors is an integer number (88692570).

Almost surely, 25344004435 is an apocalyptic number.

5344004435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5344004435 is a deficient number, since it is larger than the sum of its proper divisors (3170482285).

5344004435 is a wasteful number, since it uses less digits than its factorization.

5344004435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The square root of 5344004435 is about 73102.6978640324. The cubic root of 5344004435 is about 1748.3254114176.

It can be divided in two parts, 534400 and 4435, that added together give a palindrome (538835).

The spelling of 5344004435 in words is "five billion, three hundred forty-four million, four thousand, four hundred thirty-five".

Divisors: 1 5 7 11 29 35 49 55 77 101 145 203 245 319 385 505 539 677 707 1015 1111 1421 1595 2233 2695 2929 3385 3535 4739 4949 5555 7105 7447 7777 11165 14645 15631 19633 20503 23695 24745 32219 33173 37235 38885 52129 54439 68377 78155 98165 102515 137431 143521 161095 165865 215963 225533 260645 272195 341885 364903 478639 687155 717605 752147 962017 1079815 1127665 1511741 1578731 1824515 1982933 2393195 3350473 3760735 4810085 5265029 7558705 7893655 9914665 10582187 13880531 16752365 21812263 26325145 36855203 52910935 69402655 97163717 109061315 152685841 184276015 485818585 763429205 1068800887 5344004435