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342150450320 = 245710731718013
BaseRepresentation
bin1001111101010011100…
…00011000110010010000
31012201011001102202111202
410332221300120302100
521101211003402240
6421103131330332
733501543561530
oct4765160306220
91181131382452
10342150450320
11122118011508
12563895b09a8
1326359584383
14127bb16d4c0
158d77d76315
hex4fa9c18c90

342150450320 has 160 divisors (see below), whose sum is σ = 920585150208. Its totient is φ = 115839350784.

The previous prime is 342150450233. The next prime is 342150450329. The reversal of 342150450320 is 23054051243.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (342150450329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18985634 + ... + 19003646.

Almost surely, 2342150450320 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 342150450320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460292575104).

342150450320 is an abundant number, since it is smaller than the sum of its proper divisors (578434699888).

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

342150450320 is a wasteful number, since it uses less digits than its factorization.

342150450320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18457 (or 18451 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 342150450320 in words is "three hundred forty-two billion, one hundred fifty million, four hundred fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 107 112 140 214 280 317 428 535 560 634 749 856 1070 1268 1498 1585 1712 2140 2219 2536 2996 3170 3745 4280 4438 5072 5992 6340 7490 8560 8876 11095 11984 12680 14980 17752 18013 22190 25360 29960 33919 35504 36026 44380 59920 67838 72052 88760 90065 126091 135676 144104 169595 177520 180130 237433 252182 271352 288208 339190 360260 474866 504364 542704 630455 678380 720520 949732 1008728 1187165 1260910 1356760 1441040 1899464 1927391 2017456 2374330 2521820 2713520 3798928 3854782 4748660 5043640 5710121 7709564 9497320 9636955 10087280 11420242 13491737 15419128 18994640 19273910 22840484 26983474 28550605 30838256 38547820 39970847 45680968 53966948 57101210 67458685 77095640 79941694 91361936 107933896 114202420 134917370 154191280 159883388 199854235 215867792 228404840 269834740 319766776 399708470 456809680 539669480 610982947 639533552 799416940 1079338960 1221965894 1598833880 2443931788 3054914735 3197667760 4276880629 4887863576 6109829470 8553761258 9775727152 12219658940 17107522516 21384403145 24439317880 34215045032 42768806290 48878635760 68430090064 85537612580 171075225160 342150450320