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1342141400 = 235247712011
BaseRepresentation
bin100111111111111…
…0111001111011000
310110112110211212202
41033333313033120
510222042011100
6341102425332
745155004455
oct11777671730
93415424782
101342141400
11629670776
12315592248
131850a1412
14ca37082c
157cc667d5
hex4fff73d8

1342141400 has 96 divisors (see below), whose sum is σ = 3233364480. Its totient is φ = 517776000.

The previous prime is 1342141393. The next prime is 1342141421. The reversal of 1342141400 is 41412431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 666395 + ... + 668405.

It is an arithmetic number, because the mean of its divisors is an integer number (33680880).

Almost surely, 21342141400 is an apocalyptic number.

1342141400 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 1342141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616682240).

1342141400 is an abundant number, since it is smaller than the sum of its proper divisors (1891223080).

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

1342141400 is a wasteful number, since it uses less digits than its factorization.

1342141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1342141400 is about 36635.2480542987. The cubic root of 1342141400 is about 1103.0607318635.

Adding to 1342141400 its reverse (41412431), we get a palindrome (1383553831).

The spelling of 1342141400 in words is "one billion, three hundred forty-two million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 71 94 100 142 188 200 235 284 355 376 470 568 710 940 1175 1420 1775 1880 2011 2350 2840 3337 3550 4022 4700 6674 7100 8044 9400 10055 13348 14200 16088 16685 20110 26696 33370 40220 50275 66740 80440 83425 94517 100550 133480 142781 166850 189034 201100 285562 333700 378068 402200 472585 571124 667400 713905 756136 945170 1142248 1427810 1890340 2362925 2855620 3569525 3780680 4725850 5711240 6710707 7139050 9451700 13421414 14278100 18903400 26842828 28556200 33553535 53685656 67107070 134214140 167767675 268428280 335535350 671070700 1342141400