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1110034440 = 2332510130529
BaseRepresentation
bin100001000101001…
…1100100000001000
32212100201120222200
41002022130200020
54233132100230
6302051520200
736336065004
oct10212344010
92770646880
101110034440
1151a649339
1226b8b9060
13148c85118
14a75d1704
15676b9160
hex4229c808

1110034440 has 96 divisors (see below), whose sum is σ = 3643450200. Its totient is φ = 293068800.

The previous prime is 1110034361. The next prime is 1110034463. The reversal of 1110034440 is 444300111.

It can be written as a sum of positive squares in 4 ways, for example, as 821510244 + 288524196 = 28662^2 + 16986^2 .

It is a super-2 number, since 2×11100344402 = 2464352915972227200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21096 + ... + 51624.

Almost surely, 21110034440 is an apocalyptic number.

1110034440 is a gapful number since it is divisible by the number (10) 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 1110034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821725100).

1110034440 is an abundant number, since it is smaller than the sum of its proper divisors (2533415760).

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

1110034440 is a wasteful number, since it uses less digits than its factorization.

1110034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30647 (or 30640 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1110034440 is about 33317.1793524002. The cubic root of 1110034440 is about 1035.4095137866.

Adding to 1110034440 its reverse (444300111), we get a palindrome (1554334551).

The spelling of 1110034440 in words is "one billion, one hundred ten million, thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 606 808 909 1010 1212 1515 1818 2020 2424 3030 3636 4040 4545 6060 7272 9090 12120 18180 30529 36360 61058 91587 122116 152645 183174 244232 274761 305290 366348 457935 549522 610580 732696 915870 1099044 1221160 1373805 1831740 2198088 2747610 3083429 3663480 5495220 6166858 9250287 10990440 12333716 15417145 18500574 24667432 27750861 30834290 37001148 46251435 55501722 61668580 74002296 92502870 111003444 123337160 138754305 185005740 222006888 277508610 370011480 555017220 1110034440