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4404712338 = 2331314274397
BaseRepresentation
bin1000001101000101…
…01001001110010010
3102100222020120102000
410012202221032102
533010101243323
62005024134430
7214103302635
oct40642511622
912328216360
104404712338
111960388634
12a2b167416
13552722b80
142dadc3c1c
151aba69e43
hex1068a9392

4404712338 has 64 divisors (see below), whose sum is σ = 10550977920. Its totient is φ = 1354038336.

The previous prime is 4404712337. The next prime is 4404712343. The reversal of 4404712338 is 8332174044.

It is not an unprimeable number, because it can be changed into a prime (4404712337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 999556 + ... + 1003952.

It is an arithmetic number, because the mean of its divisors is an integer number (164859030).

Almost surely, 24404712338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4404712338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5275488960).

4404712338 is an abundant number, since it is smaller than the sum of its proper divisors (6146265582).

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

4404712338 is a wasteful number, since it uses less digits than its factorization.

4404712338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4404712338 is about 66368.0068858482. The cubic root of 4404712338 is about 1639.2273201782.

The spelling of 4404712338 in words is "four billion, four hundred four million, seven hundred twelve thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1427 2854 4281 4397 8562 8794 12843 13191 18551 25686 26382 37102 38529 39573 55653 57161 77058 79146 111306 114322 118719 166959 171483 237438 333918 342966 500877 514449 1001754 1028898 1543347 3086694 6274519 12549038 18823557 37647114 56470671 81568747 112941342 163137494 169412013 244706241 338824026 489412482 734118723 1468237446 2202356169 4404712338