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1104430032 = 243310723893
BaseRepresentation
bin100000111010100…
…0100001111010000
32211222011212012000
41001311010033100
54230213230112
6301331434000
736240333426
oct10165041720
92758155160
101104430032
115174706a2
12269a55900
13147a721c4
14a6973116
1566e5d7dc
hex41d443d0

1104430032 has 80 divisors (see below), whose sum is σ = 3199884480. Its totient is φ = 364687488.

The previous prime is 1104430013. The next prime is 1104430037. The reversal of 1104430032 is 2300344011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1104429987 and 1104430014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104430037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34278 + ... + 58170.

It is an arithmetic number, because the mean of its divisors is an integer number (39998556).

Almost surely, 21104430032 is an apocalyptic number.

1104430032 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 1104430032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599942240).

1104430032 is an abundant number, since it is smaller than the sum of its proper divisors (2095454448).

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

1104430032 is a wasteful number, since it uses less digits than its factorization.

1104430032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24017 (or 24005 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1104430032 is about 33232.9660427714. The cubic root of 1104430032 is about 1033.6640271676.

Adding to 1104430032 its reverse (2300344011), we get a palindrome (3404774043).

The spelling of 1104430032 in words is "one billion, one hundred four million, four hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 321 428 432 642 856 963 1284 1712 1926 2568 2889 3852 5136 5778 7704 11556 15408 23112 23893 46224 47786 71679 95572 143358 191144 215037 286716 382288 430074 573432 645111 860148 1146864 1290222 1720296 2556551 2580444 3440592 5113102 5160888 7669653 10226204 10321776 15339306 20452408 23008959 30678612 40904816 46017918 61357224 69026877 92035836 122714448 138053754 184071672 276107508 368143344 552215016 1104430032