Search a number
-
+
4400740734 = 2313217594327
BaseRepresentation
bin1000001100100110…
…11111100101111110
3102100200202210101120
410012103133211332
533003042200414
62004403051410
7214024451625
oct40623374576
912320683346
104400740734
111959115715
12a29970b66
13551962200
142da66c6bc
151ab5332a9
hex1064df97e

4400740734 has 96 divisors (see below), whose sum is σ = 10264631040. Its totient is φ = 1252532736.

The previous prime is 4400740703. The next prime is 4400740763. The reversal of 4400740734 is 4370470044.

It is a junction number, because it is equal to n+sod(n) for n = 4400740695 and 4400740704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1014879 + ... + 1019205.

It is an arithmetic number, because the mean of its divisors is an integer number (106923240).

Almost surely, 24400740734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400740734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132315520).

4400740734 is an abundant number, since it is smaller than the sum of its proper divisors (5863890306).

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

4400740734 is a wasteful number, since it uses less digits than its factorization.

4400740734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 33.

The square root of 4400740734 is about 66338.0790647423. The cubic root of 4400740734 is about 1638.7344904541.

The spelling of 4400740734 in words is "four billion, four hundred million, seven hundred forty thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 59 78 102 118 169 177 221 338 354 442 507 663 767 1003 1014 1326 1534 2006 2301 2873 3009 4327 4602 5746 6018 8619 8654 9971 12981 13039 17238 19942 25962 26078 29913 39117 56251 59826 73559 78234 112502 147118 168753 169507 220677 255293 337506 339014 441354 508521 510586 731263 765879 956267 1017042 1462526 1531758 1912534 2193789 2868801 3318809 4339981 4387578 5737602 6637618 8679962 9956427 12431471 13019943 19912854 24862942 26039886 37294413 43144517 56419753 74588826 86289034 112839506 129433551 169259259 258867102 338518518 733456789 1466913578 2200370367 4400740734