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1234404340 = 2251317317881
BaseRepresentation
bin100100110010011…
…1000001111110100
310012000202020102021
41021210320033310
510012001414330
6322253322524
742406156321
oct11144701764
93160666367
101234404340
11583875284
122a5496444
1316897c090
14b9d27b48
157358467a
hex499383f4

1234404340 has 96 divisors (see below), whose sum is σ = 2968557984. Its totient is φ = 427130880.

The previous prime is 1234404329. The next prime is 1234404389. The reversal of 1234404340 is 434044321.

It can be written as a sum of positive squares in 16 ways, for example, as 829670416 + 404733924 = 28804^2 + 20118^2 .

It is a super-2 number, since 2×12344043402 = 3047508149221671200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1400700 + ... + 1401580.

It is an arithmetic number, because the mean of its divisors is an integer number (30922479).

Almost surely, 21234404340 is an apocalyptic number.

1234404340 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 1234404340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484278992).

1234404340 is an abundant number, since it is smaller than the sum of its proper divisors (1734153644).

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

1234404340 is a wasteful number, since it uses less digits than its factorization.

1234404340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 1234404340 is about 35134.0908520485. The cubic root of 1234404340 is about 1072.7186058121.

Adding to 1234404340 its reverse (434044321), we get a palindrome (1668448661).

The spelling of 1234404340 in words is "one billion, two hundred thirty-four million, four hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 317 340 442 634 881 884 1105 1268 1585 1762 2210 3170 3524 4121 4405 4420 5389 6340 8242 8810 10778 11453 14977 16484 17620 20605 21556 22906 26945 29954 41210 45812 53890 57265 59908 70057 74885 82420 107780 114530 140114 149770 194701 229060 279277 280228 299540 350285 389402 558554 700570 778804 973505 1117108 1396385 1401140 1947010 2792770 3630601 3894020 4747709 5585540 7261202 9495418 14522404 18153005 18990836 23738545 36306010 47477090 61720217 72612020 94954180 123440434 246880868 308601085 617202170 1234404340