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1342045400 = 2352231671747
BaseRepresentation
bin100111111111101…
…1111110011011000
310110112021222012012
41033333133303120
510222030423100
6341100405052
745154124543
oct11777376330
93415258165
101342045400
11629605633
12315546788
13185069807
14ca34785a
157cc48135
hex4ffdfcd8

1342045400 has 96 divisors (see below), whose sum is σ = 3277290240. Its totient is φ = 510111360.

The previous prime is 1342045391. The next prime is 1342045403. The reversal of 1342045400 is 45402431.

It is a super-2 number, since 2×13420454002 = 3602171711322320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342045403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 767327 + ... + 769073.

It is an arithmetic number, because the mean of its divisors is an integer number (34138440).

Almost surely, 21342045400 is an apocalyptic number.

1342045400 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 1342045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638645120).

1342045400 is an abundant number, since it is smaller than the sum of its proper divisors (1935244840).

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

1342045400 is a wasteful number, since it uses less digits than its factorization.

1342045400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 1342045400 is about 36633.9378172754. The cubic root of 1342045400 is about 1103.0344315161.

Adding to 1342045400 its reverse (45402431), we get a palindrome (1387447831).

The spelling of 1342045400 in words is "one billion, three hundred forty-two million, forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 167 184 200 230 334 460 575 668 835 920 1150 1336 1670 1747 2300 3340 3494 3841 4175 4600 6680 6988 7682 8350 8735 13976 15364 16700 17470 19205 30728 33400 34940 38410 40181 43675 69880 76820 80362 87350 96025 153640 160724 174700 192050 200905 291749 321448 349400 384100 401810 583498 768200 803620 1004525 1166996 1458745 1607240 2009050 2333992 2917490 4018100 5834980 6710227 7293725 8036200 11669960 13420454 14587450 26840908 29174900 33551135 53681816 58349800 67102270 134204540 167755675 268409080 335511350 671022700 1342045400