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1342042000 = 24531371727
BaseRepresentation
bin100111111111101…
…1110111110010000
310110112021210112021
41033333132332100
510222030321000
6341100341224
745154111615
oct11777367620
93415253467
101342042000
11629603022
12315544814
131850680c0
14ca34650c
157cc4711a
hex4ffdef90

1342042000 has 160 divisors (see below), whose sum is σ = 3548772864. Its totient is φ = 487872000.

The previous prime is 1342041983. The next prime is 1342042027. The reversal of 1342042000 is 2402431.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1845637 + ... + 1846363.

Almost surely, 21342042000 is an apocalyptic number.

1342042000 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 1342042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774386432).

1342042000 is an abundant number, since it is smaller than the sum of its proper divisors (2206730864).

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

1342042000 is a wasteful number, since it uses less digits than its factorization.

1342042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1342042000 is about 36633.8914121882. The cubic root of 1342042000 is about 1103.0335000224.

Adding to 1342042000 its reverse (2402431), we get a palindrome (1344444431).

The spelling of 1342042000 in words is "one billion, three hundred forty-two million, forty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 71 80 100 104 125 130 142 200 208 250 260 284 325 355 400 500 520 568 650 710 727 923 1000 1040 1136 1300 1420 1454 1625 1775 1846 2000 2600 2840 2908 3250 3550 3635 3692 4615 5200 5680 5816 6500 7100 7270 7384 8875 9230 9451 11632 13000 14200 14540 14768 17750 18175 18460 18902 23075 26000 28400 29080 35500 36350 36920 37804 46150 47255 51617 58160 71000 72700 73840 75608 90875 92300 94510 103234 115375 142000 145400 151216 181750 184600 189020 206468 230750 236275 258085 290800 363500 369200 378040 412936 461500 472550 516170 671021 727000 756080 825872 923000 945100 1032340 1181375 1290425 1342042 1454000 1846000 1890200 2064680 2362750 2580850 2684084 3355105 3780400 4129360 4725500 5161700 5368168 6452125 6710210 9451000 10323400 10736336 12904250 13420420 16775525 18902000 20646800 25808500 26840840 33551050 51617000 53681680 67102100 83877625 103234000 134204200 167755250 268408400 335510500 671021000 1342042000