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1340233400 = 2352111932063
BaseRepresentation
bin100111111100010…
…0101011010111000
310110101212220121002
41033320211122320
510221044432100
6340553504132
745132540002
oct11770453270
93411786532
101340233400
11628588210
12314a12048
13184883b1c
14c9dd5372
157c9db2d5
hex4fe256b8

1340233400 has 96 divisors (see below), whose sum is σ = 3578342400. Its totient is φ = 461692800.

The previous prime is 1340233399. The next prime is 1340233409. The reversal of 1340233400 is 43320431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340233409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25769 + ... + 57831.

It is an arithmetic number, because the mean of its divisors is an integer number (37274400).

Almost surely, 21340233400 is an apocalyptic number.

1340233400 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 1340233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789171200).

1340233400 is an abundant number, since it is smaller than the sum of its proper divisors (2238109000).

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

1340233400 is a wasteful number, since it uses less digits than its factorization.

1340233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32109 (or 32100 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1340233400 is about 36609.1982976956. The cubic root of 1340233400 is about 1102.5377770318.

Adding to 1340233400 its reverse (43320431), we get a palindrome (1383553831).

The spelling of 1340233400 in words is "one billion, three hundred forty million, two hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 152 190 200 209 220 275 380 418 440 475 550 760 836 950 1045 1100 1672 1900 2090 2200 3800 4180 5225 8360 10450 20900 32063 41800 64126 128252 160315 256504 320630 352693 609197 641260 705386 801575 1218394 1282520 1410772 1603150 1763465 2436788 2821544 3045985 3206300 3526930 4873576 6091970 6412600 6701167 7053860 8817325 12183940 13402334 14107720 15229925 17634650 24367880 26804668 30459850 33505835 35269300 53609336 60919700 67011670 70538600 121839400 134023340 167529175 268046680 335058350 670116700 1340233400