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344245103040 = 2635383393553
BaseRepresentation
bin1010000001001101001…
…10110110100111000000
31012220120000220010212010
411000212212312213000
521120003221244130
6422051035132520
733604500045006
oct5004646664700
91186500803763
10344245103040
11122aa2428063
1256872ba4140
132660151c357
1412939426a76
158e4bbd40b0
hex50269b69c0

344245103040 has 112 divisors (see below), whose sum is σ = 1093275037728. Its totient is φ = 91773763584.

The previous prime is 344245103029. The next prime is 344245103047. The reversal of 344245103040 is 40301542443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 344245102989 and 344245103007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344245103047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3632904 + ... + 3726456.

Almost surely, 2344245103040 is an apocalyptic number.

344245103040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344245103040 is an abundant number, since it is smaller than the sum of its proper divisors (749029934688).

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

344245103040 is a wasteful number, since it uses less digits than its factorization.

344245103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97406 (or 97396 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 344245103040 its reverse (40301542443), we get a palindrome (384546645483).

The spelling of 344245103040 in words is "three hundred forty-four billion, two hundred forty-five million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 3833 7666 11499 15332 19165 22998 30664 38330 45996 57495 61328 76660 91992 93553 114990 122656 153320 183984 187106 229980 245312 280659 306640 367968 374212 459960 467765 561318 613280 735936 748424 919920 935530 1122636 1226560 1403295 1496848 1839840 1871060 2245272 2806590 2993696 3679680 3742120 4490544 5613180 5987392 7484240 8981088 11226360 14968480 17962176 22452720 29936960 44905440 89810880 358588649 717177298 1075765947 1434354596 1792943245 2151531894 2868709192 3585886490 4303063788 5378829735 5737418384 7171772980 8606127576 10757659470 11474836768 14343545960 17212255152 21515318940 22949673536 28687091920 34424510304 43030637880 57374183840 68849020608 86061275760 114748367680 172122551520 344245103040