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1142334240 = 253510123563
BaseRepresentation
bin100010000010110…
…1010001100100000
32221121111120222120
41010011222030200
54314414143430
6305204104240
740210452345
oct10405521440
92847446876
101142334240
115368aa693
1227a695080
13152883b28
14ab9dc7cc
156a449610
hex4416a320

1142334240 has 96 divisors (see below), whose sum is σ = 3634134336. Its totient is φ = 301593600.

The previous prime is 1142334239. The next prime is 1142334241. The reversal of 1142334240 is 424332411.

It is an interprime number because it is at equal distance from previous prime (1142334239) and next prime (1142334241).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1142334240.

It is not an unprimeable number, because it can be changed into a prime (1142334241) 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, 36699 + ... + 60261.

It is an arithmetic number, because the mean of its divisors is an integer number (37855566).

Almost surely, 21142334240 is an apocalyptic number.

1142334240 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 1142334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817067168).

1142334240 is an abundant number, since it is smaller than the sum of its proper divisors (2491800096).

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

1142334240 is a wasteful number, since it uses less digits than its factorization.

1142334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23682 (or 23674 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1142334240 is about 33798.4354667490. The cubic root of 1142334240 is about 1045.3564377066.

Adding to 1142334240 its reverse (424332411), we get a palindrome (1566666651).

The spelling of 1142334240 in words is "one billion, one hundred forty-two million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 101 120 160 202 240 303 404 480 505 606 808 1010 1212 1515 1616 2020 2424 3030 3232 4040 4848 6060 8080 9696 12120 16160 23563 24240 47126 48480 70689 94252 117815 141378 188504 235630 282756 353445 377008 471260 565512 706890 754016 942520 1131024 1413780 1885040 2262048 2379863 2827560 3770080 4759726 5655120 7139589 9519452 11310240 11899315 14279178 19038904 23798630 28558356 35697945 38077808 47597260 57116712 71395890 76155616 95194520 114233424 142791780 190389040 228466848 285583560 380778080 571167120 1142334240