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4305124404 = 2234717111659
BaseRepresentation
bin1000000001001101…
…01111110000110100
3102010000211222110000
410000212233300310
532304102440104
61551105431300
7211453645050
oct40046576064
912100758400
104305124404
11190a148759
12a0193b530
13537bc4ab9
142cba9cc60
151a2e47639
hex1009afc34

4305124404 has 120 divisors (see below), whose sum is σ = 13618946880. Its totient is φ = 1157670144.

The previous prime is 4305124403. The next prime is 4305124441. The reversal of 4305124404 is 4044215034.

It is a happy number.

It is a super-2 number, since 2×43051244042 = 37068192267832710432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4305124403) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17274 + ... + 94385.

It is an arithmetic number, because the mean of its divisors is an integer number (113491224).

Almost surely, 24305124404 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 4305124404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6809473440).

4305124404 is an abundant number, since it is smaller than the sum of its proper divisors (9313822476).

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

4305124404 is a wasteful number, since it uses less digits than its factorization.

4305124404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111699 (or 111688 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4305124404 is about 65613.4468230408. The cubic root of 4305124404 is about 1626.7790414580.

Adding to 4305124404 its reverse (4044215034), we get a palindrome (8349339438).

The spelling of 4305124404 in words is "four billion, three hundred five million, one hundred twenty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 252 306 324 357 378 459 476 567 612 714 756 918 1071 1134 1377 1428 1836 2142 2268 2754 3213 4284 5508 6426 9639 12852 19278 38556 111659 223318 334977 446636 669954 781613 1004931 1339908 1563226 1898203 2009862 2344839 3014793 3126452 3796406 4019724 4689678 5694609 6029586 7034517 7592812 9044379 9379356 11389218 12059172 13287421 14069034 17083827 18088758 21103551 22778436 26574842 28138068 34167654 36177516 39862263 42207102 51251481 53149684 63310653 68335308 79724526 84414204 102502962 119586789 126621306 153754443 159449052 205005924 239173578 253242612 307508886 358760367 478347156 615017772 717520734 1076281101 1435041468 2152562202 4305124404