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1104414432 = 253112313067
BaseRepresentation
bin100000111010100…
…0000011011100000
32211222011001210020
41001311000123200
54230212230212
6301331233440
736240240102
oct10165003340
92758131706
101104414432
1151745aa00
12269a48880
13147a68084
14a696b572
1566e58d8c
hex41d406e0

1104414432 has 144 divisors (see below), whose sum is σ = 3290466816. Its totient is φ = 323769600.

The previous prime is 1104414407. The next prime is 1104414449. The reversal of 1104414432 is 2344144011.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 358563 + ... + 361629.

It is an arithmetic number, because the mean of its divisors is an integer number (22850464).

Almost surely, 21104414432 is an apocalyptic number.

1104414432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645233408).

1104414432 is an abundant number, since it is smaller than the sum of its proper divisors (2186052384).

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

1104414432 is a wasteful number, since it uses less digits than its factorization.

1104414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1104414432 is about 33232.7313352364. The cubic root of 1104414432 is about 1033.6591603330.

Adding to 1104414432 its reverse (2344144011), we get a palindrome (3448558443).

The spelling of 1104414432 in words is "one billion, one hundred four million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 121 124 132 176 186 242 248 264 341 352 363 372 484 496 528 682 726 744 968 992 1023 1056 1364 1452 1488 1936 2046 2728 2904 2976 3067 3751 3872 4092 5456 5808 6134 7502 8184 9201 10912 11253 11616 12268 15004 16368 18402 22506 24536 30008 32736 33737 36804 45012 49072 60016 67474 73608 90024 95077 98144 101211 120032 134948 147216 180048 190154 202422 269896 285231 294432 360096 371107 380308 404844 539792 570462 742214 760616 809688 1045847 1079584 1113321 1140924 1484428 1521232 1619376 2091694 2226642 2281848 2968856 3042464 3137541 3238752 4183388 4453284 4563696 5937712 6275082 8366776 8906568 9127392 11504317 11875424 12550164 16733552 17813136 23008634 25100328 33467104 34512951 35626272 46017268 50200656 69025902 92034536 100401312 138051804 184069072 276103608 368138144 552207216 1104414432