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1234400340 = 223523238891
BaseRepresentation
bin100100110010011…
…0111010001010100
310012000202000221010
41021210313101110
510012001302330
6322253252220
742406141545
oct11144672124
93160660833
101234400340
11583872278
122a5494070
1316897a304
14b9d264cc
15735833b0
hex49937454

1234400340 has 72 divisors (see below), whose sum is σ = 3613222368. Its totient is φ = 314853440.

The previous prime is 1234400329. The next prime is 1234400351. The reversal of 1234400340 is 430044321.

It is an interprime number because it is at equal distance from previous prime (1234400329) and next prime (1234400351).

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, 12295 + ... + 51185.

It is an arithmetic number, because the mean of its divisors is an integer number (50183644).

Almost surely, 21234400340 is an apocalyptic number.

1234400340 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 1234400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806611184).

1234400340 is an abundant number, since it is smaller than the sum of its proper divisors (2378822028).

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

1234400340 is a wasteful number, since it uses less digits than its factorization.

1234400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38949 (or 38924 counting only the distinct ones).

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

The square root of 1234400340 is about 35134.0339272336. The cubic root of 1234400340 is about 1072.7174471213.

Adding to 1234400340 its reverse (430044321), we get a palindrome (1664444661).

The spelling of 1234400340 in words is "one billion, two hundred thirty-four million, four hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 529 690 1058 1380 1587 2116 2645 3174 5290 6348 7935 10580 15870 31740 38891 77782 116673 155564 194455 233346 388910 466692 583365 777820 894493 1166730 1788986 2333460 2683479 3577972 4472465 5366958 8944930 10733916 13417395 17889860 20573339 26834790 41146678 53669580 61720017 82293356 102866695 123440034 205733390 246880068 308600085 411466780 617200170 1234400340