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4379449734 = 23311231312447
BaseRepresentation
bin1000001010000100…
…10001100110000110
3102022012201002122000
410011002101212012
532432114342414
62002322450130
7213345465012
oct40502214606
912265632560
104379449734
1119480a3450
12a22803946
1354a41929a
142d78c9542
151a9729b09
hex105091986

4379449734 has 128 divisors (see below), whose sum is σ = 11167580160. Its totient is φ = 1259200800.

The previous prime is 4379449729. The next prime is 4379449771.

4379449734 is a `hidden beast` number, since 4 + 37 + 94 + 497 + 34 = 666.

4379449734 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1788499 + ... + 1790945.

It is an arithmetic number, because the mean of its divisors is an integer number (87246720).

Almost surely, 24379449734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4379449734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583790080).

4379449734 is an abundant number, since it is smaller than the sum of its proper divisors (6788130426).

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

4379449734 is a wasteful number, since it uses less digits than its factorization.

4379449734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2617 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The square root of 4379449734 is about 66177.4110554349. The cubic root of 4379449734 is about 1636.0874576883.

It can be divided in two parts, 43794 and 49734, that added together give a triangular number (93528 = T432).

The spelling of 4379449734 in words is "four billion, three hundred seventy-nine million, four hundred forty-nine thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 131 138 198 207 253 262 297 393 414 506 594 621 759 786 1179 1242 1441 1518 2277 2358 2447 2882 3013 3537 4323 4554 4894 6026 6831 7074 7341 8646 9039 12969 13662 14682 18078 22023 25938 26917 27117 33143 38907 44046 53834 54234 56281 66069 66286 77814 80751 81351 99429 112562 132138 161502 162702 168843 198858 242253 298287 320557 337686 484506 506529 596574 619091 641114 726759 894861 961671 1013058 1238182 1453518 1519587 1789722 1857273 1923342 2885013 3039174 3526127 3714546 5571819 5770026 7052254 7372811 8655039 10578381 11143638 14745622 16715457 17310078 21156762 22118433 31735143 33430914 44236866 63470286 66355299 81100921 95205429 132710598 162201842 190410858 199065897 243302763 398131794 486605526 729908289 1459816578 2189724867 4379449734