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334330231240 = 235194495411811
BaseRepresentation
bin1001101110101111010…
…00100111100111001000
31011221222001022110200001
410313113220213213020
520434202014344430
6413331133052344
733104005035145
oct4672750474710
91157861273601
10334330231240
11119874777135
12549666270b4
13256b13694c5
14122787033cc
158a6b53e3ca
hex4dd7a279c8

334330231240 has 128 divisors (see below), whose sum is σ = 795504240000. Its totient is φ = 126108057600.

The previous prime is 334330231231. The next prime is 334330231241. The reversal of 334330231240 is 42132033433.

It is a happy number.

It is a super-2 number, since 2×3343302312402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334330231199 and 334330231208.

It is not an unprimeable number, because it can be changed into a prime (334330231241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184609935 + ... + 184611745.

It is an arithmetic number, because the mean of its divisors is an integer number (6214876875).

Almost surely, 2334330231240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334330231240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397752120000).

334330231240 is an abundant number, since it is smaller than the sum of its proper divisors (461174008760).

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

334330231240 is a wasteful number, since it uses less digits than its factorization.

334330231240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 334330231240 its reverse (42132033433), we get a palindrome (376462264673).

The spelling of 334330231240 in words is "three hundred thirty-four billion, three hundred thirty million, two hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 449 541 760 898 1082 1796 1811 2164 2245 2705 3592 3622 4328 4490 5410 7244 8531 8980 9055 10279 10820 14488 17062 17960 18110 20558 21640 34124 34409 36220 41116 42655 51395 68248 68818 72440 82232 85310 102790 137636 170620 172045 205580 242909 275272 341240 344090 411160 485818 688180 813139 971636 979751 1214545 1376360 1626278 1943272 1959502 2429090 3252556 3919004 4065695 4615271 4858180 4898755 6505112 7838008 8131390 9230542 9716360 9797510 15449641 16262780 18461084 18615269 19595020 23076355 30899282 32525560 36922168 37230538 39190040 46152710 61798564 74461076 77248205 92305420 93076345 123597128 148922152 154496410 184610840 186152690 308992820 372305380 439908199 617985640 744610760 879816398 1759632796 2199540995 3519265592 4399081990 8358255781 8798163980 16716511562 17596327960 33433023124 41791278905 66866046248 83582557810 167165115620 334330231240