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1234200040 = 23541839067
BaseRepresentation
bin100100110010000…
…0110010111101000
310012000100212011121
41021210012113220
510011423400130
6322245105024
742404345563
oct11144062750
93160325147
101234200040
11583745837
122a53b8174
1316890a0a8
14b9cb34da
1573543d7a
hex499065e8

1234200040 has 64 divisors (see below), whose sum is σ = 2879271360. Its totient is φ = 475783680.

The previous prime is 1234200013. The next prime is 1234200059. The reversal of 1234200040 is 400024321.

It is a junction number, because it is equal to n+sod(n) for n = 1234199987 and 1234200023.

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, 131587 + ... + 140653.

It is an arithmetic number, because the mean of its divisors is an integer number (44988615).

Almost surely, 21234200040 is an apocalyptic number.

1234200040 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 1234200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439635680).

1234200040 is an abundant number, since it is smaller than the sum of its proper divisors (1645071320).

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

1234200040 is a wasteful number, since it uses less digits than its factorization.

1234200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9202 (or 9198 counting only the distinct ones).

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

The square root of 1234200040 is about 35131.1832991717. The cubic root of 1234200040 is about 1072.6594224755.

Adding to 1234200040 its reverse (400024321), we get a palindrome (1634224361).

The spelling of 1234200040 in words is "one billion, two hundred thirty-four million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 83 164 166 205 328 332 410 415 664 820 830 1640 1660 3320 3403 6806 9067 13612 17015 18134 27224 34030 36268 45335 68060 72536 90670 136120 181340 362680 371747 743494 752561 1486988 1505122 1858735 2973976 3010244 3717470 3762805 6020488 7434940 7525610 14869880 15051220 30102440 30855001 61710002 123420004 154275005 246840008 308550010 617100020 1234200040