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1342430040 = 233571598131
BaseRepresentation
bin101000000000011…
…1101101101011000
310110120000111211010
41100000331231120
510222130230130
6341112533520
745160316130
oct12000755530
93416014733
101342430040
11629848616
123156b12a0
13185172903
14ca407ac0
157ccc20b0
hex5003db58

1342430040 has 64 divisors (see below), whose sum is σ = 4602620160. Its totient is φ = 306840960.

The previous prime is 1342430017. The next prime is 1342430113. The reversal of 1342430040 is 400342431.

It is a super-3 number, since 3×13424300403 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1342429989 and 1342430016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798226 + ... + 799905.

It is an arithmetic number, because the mean of its divisors is an integer number (71915940).

Almost surely, 21342430040 is an apocalyptic number.

1342430040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1342430040 is an abundant number, since it is smaller than the sum of its proper divisors (3260190120).

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

1342430040 is a wasteful number, since it uses less digits than its factorization.

1342430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598152 (or 1598148 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1342430040 is about 36639.1872180593. The cubic root of 1342430040 is about 1103.1398006879.

Adding to 1342430040 its reverse (400342431), we get a palindrome (1742772471).

The spelling of 1342430040 in words is "one billion, three hundred forty-two million, four hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1598131 3196262 4794393 6392524 7990655 9588786 11186917 12785048 15981310 19177572 22373834 23971965 31962620 33560751 38355144 44747668 47943930 55934585 63925240 67121502 89495336 95887860 111869170 134243004 167803755 191775720 223738340 268486008 335607510 447476680 671215020 1342430040