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34404233344 = 2713171216213
BaseRepresentation
bin100000000010101001…
…101111000010000000
310021210200122010201121
4200002221233002000
51030424440431334
623445522042024
72325366105205
oct400251570200
9107720563647
1034404233344
11136553247a8
126801aa9314
13332397ac30
141945345cac
15d655ebdb4
hex802a6f080

34404233344 has 64 divisors (see below), whose sum is σ = 78153911640. Its totient is φ = 14944813056.

The previous prime is 34404233329. The next prime is 34404233371. The reversal of 34404233344 is 44333240443.

It can be written as a sum of positive squares in 4 ways, for example, as 33723649600 + 680583744 = 183640^2 + 26088^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 579819 + ... + 636394.

Almost surely, 234404233344 is an apocalyptic number.

34404233344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34404233344 is an abundant number, since it is smaller than the sum of its proper divisors (43749678296).

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

34404233344 is a wasteful number, since it uses less digits than its factorization.

34404233344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216257 (or 1216245 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 34.

Adding to 34404233344 its reverse (44333240443), we get a palindrome (78737473787).

The spelling of 34404233344 in words is "thirty-four billion, four hundred four million, two hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 442 544 832 884 1088 1664 1768 2176 3536 7072 14144 28288 1216213 2432426 4864852 9729704 15810769 19459408 20675621 31621538 38918816 41351242 63243076 77837632 82702484 126486152 155675264 165404968 252972304 268783073 330809936 505944608 537566146 661619872 1011889216 1075132292 1323239744 2023778432 2150264584 2646479488 4300529168 8601058336 17202116672 34404233344