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1342102240 = 255194310267
BaseRepresentation
bin100111111111110…
…1101101011100000
310110112101212011101
41033333231223200
510222034232430
6341101524144
745154452343
oct11777555340
93415355141
101342102240
11629644306
12315573654
1318508964b
14ca36045a
157cc59dca
hex4ffedae0

1342102240 has 96 divisors (see below), whose sum is σ = 3415547520. Its totient is φ = 496710144.

The previous prime is 1342102211. The next prime is 1342102261. The reversal of 1342102240 is 422012431.

It is a super-2 number, since 2×13421022402 = 3602476845226035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125587 + ... + 135853.

It is an arithmetic number, because the mean of its divisors is an integer number (35578620).

Almost surely, 21342102240 is an apocalyptic number.

1342102240 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 1342102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707773760).

1342102240 is an abundant number, since it is smaller than the sum of its proper divisors (2073445280).

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

1342102240 is a wasteful number, since it uses less digits than its factorization.

1342102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10344 (or 10336 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1342102240 is about 36634.7135924385. The cubic root of 1342102240 is about 1103.0500036649.

Adding to 1342102240 its reverse (422012431), we get a palindrome (1764114671).

The spelling of 1342102240 in words is "one billion, three hundred forty-two million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 43 76 80 86 95 152 160 172 190 215 304 344 380 430 608 688 760 817 860 1376 1520 1634 1720 3040 3268 3440 4085 6536 6880 8170 10267 13072 16340 20534 26144 32680 41068 51335 65360 82136 102670 130720 164272 195073 205340 328544 390146 410680 441481 780292 821360 882962 975365 1560584 1642720 1765924 1950730 2207405 3121168 3531848 3901460 4414810 6242336 7063696 7802920 8388139 8829620 14127392 15605840 16776278 17659240 31211680 33552556 35318480 41940695 67105112 70636960 83881390 134210224 167762780 268420448 335525560 671051120 1342102240