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344312004103440 = 24351434633350431
BaseRepresentation
bin100111001001001100110001…
…0101100100100110100010000
31200011002220110120022222001120
41032102121202230210310100
5330112201441022302230
63220142430121202240
7132344502302626452
oct11622314254446420
91604086416288046
10344312004103440
119a7879a0136aaa
1232749b81630380
1311a17637567099
146104b0b75c2d2
1529c152a9c6310
hex1392662b24d10

344312004103440 has 40 divisors (see below), whose sum is σ = 1067367212721408. Its totient is φ = 91816534427520.

The previous prime is 344312004103433. The next prime is 344312004103477. The reversal of 344312004103440 is 44301400213443.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 717316674976 + ... + 717316675455.

Almost surely, 2344312004103440 is an apocalyptic number.

344312004103440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344312004103440 is an abundant number, since it is smaller than the sum of its proper divisors (723055208617968).

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

344312004103440 is a wasteful number, since it uses less digits than its factorization.

344312004103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434633350447 (or 1434633350441 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 344312004103440 its reverse (44301400213443), we get a palindrome (388613404316883).

The spelling of 344312004103440 in words is "three hundred forty-four trillion, three hundred twelve billion, four million, one hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1434633350431 2869266700862 4303900051293 5738533401724 7173166752155 8607800102586 11477066803448 14346333504310 17215600205172 21519500256465 22954133606896 28692667008620 34431200410344 43039000512930 57385334017240 68862400820688 86078001025860 114770668034480 172156002051720 344312004103440