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245436340344 = 233137115770571
BaseRepresentation
bin1110010010010100100…
…1010101100001111000
3212110111212202220222120
43210211021111201320
513010123200342334
6304430224321240
723506066320366
oct3444511254170
9773455686876
10245436340344
11950a84631a8
123b698173220
131a1b5756770
14bc44694636
1565b7353949
hex3925255878

245436340344 has 128 divisors (see below), whose sum is σ = 674374740480. Its totient is φ = 73979942400.

The previous prime is 245436340339. The next prime is 245436340351. The reversal of 245436340344 is 443043634542.

It is a super-2 number, since 2×2454363403442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 245436340296 and 245436340305.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3442579 + ... + 3513149.

It is an arithmetic number, because the mean of its divisors is an integer number (5268552660).

Almost surely, 2245436340344 is an apocalyptic number.

245436340344 is a gapful number since it is divisible by the number (24) 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 245436340344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337187370240).

245436340344 is an abundant number, since it is smaller than the sum of its proper divisors (428938400136).

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

245436340344 is a wasteful number, since it uses less digits than its factorization.

245436340344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70821 (or 70817 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 42.

Adding to 245436340344 its reverse (443043634542), we get a palindrome (688479974886).

The spelling of 245436340344 in words is "two hundred forty-five billion, four hundred thirty-six million, three hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 104 142 156 157 213 284 312 314 426 471 568 628 852 923 942 1256 1704 1846 1884 2041 2769 3692 3768 4082 5538 6123 7384 8164 11076 11147 12246 16328 22152 22294 24492 33441 44588 48984 66882 70571 89176 133764 141142 144911 211713 267528 282284 289822 423426 434733 564568 579644 846852 869466 917423 1159288 1693704 1738932 1834846 2752269 3477864 3669692 5010541 5504538 7339384 10021082 11009076 11079647 15031623 20042164 22018152 22159294 30063246 33238941 40084328 44318588 60126492 65137033 66477882 88637176 120252984 130274066 132955764 144035411 195411099 260548132 265911528 288070822 390822198 432106233 521096264 576141644 781644396 786654937 864212466 1152283288 1563288792 1573309874 1728424932 2359964811 3146619748 3456849864 4719929622 6293239496 9439859244 10226514181 18879718488 20453028362 30679542543 40906056724 61359085086 81812113448 122718170172 245436340344