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340444223240 = 235114161309371
BaseRepresentation
bin1001111010001000000…
…11101001011100001000
31012112202010212102222012
410331010003221130020
521034212210120430
6420221541115052
733411345102542
oct4750403513410
91175663772865
10340444223240
11121421985890
1255b920b8a88
1326146c37654
1412698706692
158cc8192695
hex4f440e9708

340444223240 has 128 divisors (see below), whose sum is σ = 870053063040. Its totient is φ = 118798080000.

The previous prime is 340444223233. The next prime is 340444223267. The reversal of 340444223240 is 42322444043.

It is a junction number, because it is equal to n+sod(n) for n = 340444223197 and 340444223206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 945755 + ... + 1255125.

It is an arithmetic number, because the mean of its divisors is an integer number (6797289555).

Almost surely, 2340444223240 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 340444223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435026531520).

340444223240 is an abundant number, since it is smaller than the sum of its proper divisors (529608839800).

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

340444223240 is a wasteful number, since it uses less digits than its factorization.

340444223240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309495 (or 309491 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 340444223240 its reverse (42322444043), we get a palindrome (382766667283).

The spelling of 340444223240 in words is "three hundred forty billion, four hundred forty-four million, two hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 61 82 88 110 122 164 205 220 244 305 328 410 440 451 488 610 671 820 902 1220 1342 1640 1804 2255 2440 2501 2684 3355 3608 4510 5002 5368 6710 9020 10004 12505 13420 18040 20008 25010 26840 27511 50020 55022 100040 110044 137555 220088 275110 309371 550220 618742 1100440 1237484 1546855 2474968 3093710 3403081 6187420 6806162 12374840 12684211 13612324 17015405 18871631 25368422 27224648 34030810 37743262 50736844 63421055 68061620 75486524 94358155 101473688 126842110 136123240 139526321 150973048 188716310 207587941 253684220 279052642 377432620 415175882 507368440 558105284 697631605 754865240 773736871 830351764 1037939705 1116210568 1395263210 1547473742 1660703528 2075879410 2790526420 3094947484 3868684355 4151758820 5581052840 6189894968 7737368710 8303517640 8511105581 15474737420 17022211162 30949474840 34044422324 42555527905 68088844648 85111055810 170222111620 340444223240