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1142345310 = 235436713217
BaseRepresentation
bin100010000010110…
…1100111001011110
32221121112011011120
41010011230321132
54314420022220
6305204231410
740210526541
oct10405547136
92847464146
101142345310
11536907a37
1227a69b566
13152888b92
14aba02858
156a44ca40
hex4416ce5e

1142345310 has 64 divisors (see below), whose sum is σ = 2847474432. Its totient is φ = 293078016.

The previous prime is 1142345291. The next prime is 1142345317. The reversal of 1142345310 is 135432411.

It is a happy number.

It is a super-2 number, since 2×11423453102 = 2609905614557992200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142345317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79822 + ... + 93038.

It is an arithmetic number, because the mean of its divisors is an integer number (44491788).

Almost surely, 21142345310 is an apocalyptic number.

1142345310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142345310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423737216).

1142345310 is an abundant number, since it is smaller than the sum of its proper divisors (1705129122).

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

1142345310 is a wasteful number, since it uses less digits than its factorization.

1142345310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13337.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1142345310 is about 33798.5992313291. The cubic root of 1142345310 is about 1045.3598144353.

Adding to 1142345310 its reverse (135432411), we get a palindrome (1277777721).

The spelling of 1142345310 in words is "one billion, one hundred forty-two million, three hundred forty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 67 86 129 134 201 215 258 335 402 430 645 670 1005 1290 2010 2881 5762 8643 13217 14405 17286 26434 28810 39651 43215 66085 79302 86430 132170 198255 396510 568331 885539 1136662 1704993 1771078 2656617 2841655 3409986 4427695 5313234 5683310 8524965 8855390 13283085 17049930 26566170 38078177 76156354 114234531 190390885 228469062 380781770 571172655 1142345310