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344545023450 = 235216327750873
BaseRepresentation
bin1010000001110000111…
…10111101010111011010
31012221022221020200022110
411000320132331113122
521121112011222300
6422140511333150
733615101243355
oct5007036752732
91187287220273
10344545023450
11123136757771
12569375211b6
132664b6bcb54
14129671b929c
158e681c9550
hex50387bd5da

344545023450 has 96 divisors (see below), whose sum is σ = 862834435776. Its totient is φ = 90983554560.

The previous prime is 344545023401. The next prime is 344545023481. The reversal of 344545023450 is 54320545443.

It is a super-2 number, since 2×3445450234502 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344545023399 and 344545023408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6747214 + ... + 6798086.

It is an arithmetic number, because the mean of its divisors is an integer number (8987858706).

Almost surely, 2344545023450 is an apocalyptic number.

344545023450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 344545023450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431417217888).

344545023450 is an abundant number, since it is smaller than the sum of its proper divisors (518289412326).

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

344545023450 is a wasteful number, since it uses less digits than its factorization.

344545023450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51328 (or 51323 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 39.

Adding to 344545023450 its reverse (54320545443), we get a palindrome (398865568893).

The spelling of 344545023450 in words is "three hundred forty-four billion, five hundred forty-five million, twenty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 163 277 326 489 554 815 831 978 1385 1630 1662 2445 2770 4075 4155 4890 6925 8150 8310 12225 13850 20775 24450 41550 45151 50873 90302 101746 135453 152619 225755 254365 270906 305238 451510 508730 677265 763095 1128775 1271825 1354530 1526190 2257550 2543650 3386325 3815475 6772650 7630950 8292299 14091821 16584598 24876897 28183642 41461495 42275463 49753794 70459105 82922990 84550926 124384485 140918210 207307475 211377315 248768970 352295525 414614950 422754630 621922425 704591050 1056886575 1243844850 2113773150 2296966823 4593933646 6890900469 11484834115 13781800938 22969668230 34454502345 57424170575 68909004690 114848341150 172272511725 344545023450