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4434044436 = 2233298915907
BaseRepresentation
bin1000010000100101…
…00010011000010100
3102110000102210111000
410020102202120110
533040103410221
62011552543300
7214610520153
oct41022423024
912400383430
104434044436
1119759a2238
12a38b51b30
13558822b43
14300c5b59a
151ae410e26
hex1084a2614

4434044436 has 96 divisors (see below), whose sum is σ = 12026448000. Its totient is φ = 1410925824.

The previous prime is 4434044429. The next prime is 4434044441. The reversal of 4434044436 is 6344404344.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4434044436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270795 + ... + 286701.

It is an arithmetic number, because the mean of its divisors is an integer number (125275500).

Almost surely, 24434044436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434044436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013224000).

4434044436 is an abundant number, since it is smaller than the sum of its proper divisors (7592403564).

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

4434044436 is a wasteful number, since it uses less digits than its factorization.

4434044436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16038 (or 16030 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

The square root of 4434044436 is about 66588.6209197938. The cubic root of 4434044436 is about 1642.8579499674.

The spelling of 4434044436 in words is "four billion, four hundred thirty-four million, forty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 89 108 116 174 178 261 267 348 356 522 534 783 801 1044 1068 1566 1602 2403 2581 3132 3204 4806 5162 7743 9612 10324 15486 15907 23229 30972 31814 46458 47721 63628 69687 92916 95442 139374 143163 190884 278748 286326 429489 461303 572652 858978 922606 1383909 1415723 1717956 1845212 2767818 2831446 4151727 4247169 5535636 5662892 8303454 8494338 12455181 12741507 16606908 16988676 24910362 25483014 38224521 41055967 49820724 50966028 76449042 82111934 123167901 152898084 164223868 246335802 369503703 492671604 739007406 1108511109 1478014812 2217022218 4434044436