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2350234240 = 27529139911
BaseRepresentation
bin1000110000010101…
…1011101010000000
320001210101021021121
42030011123222000
514303124443430
61025113402024
7112145442604
oct21405335200
96053337247
102350234240
11aa6711852
12557109314
132b5bb3063
141841c7504
15db4e5a7a
hex8c15ba80

2350234240 has 128 divisors (see below), whose sum is σ = 5860512000. Its totient is φ = 900157440.

The previous prime is 2350234199. The next prime is 2350234259. The reversal of 2350234240 is 424320532.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2579385 + ... + 2580295.

It is an arithmetic number, because the mean of its divisors is an integer number (45785250).

Almost surely, 22350234240 is an apocalyptic number.

2350234240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2350234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930256000).

2350234240 is an abundant number, since it is smaller than the sum of its proper divisors (3510277760).

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

2350234240 is a wasteful number, since it uses less digits than its factorization.

2350234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 2350234240 is about 48479.2145150888. The cubic root of 2350234240 is about 1329.5470672079.

Adding to 2350234240 its reverse (424320532), we get a palindrome (2774554772).

The spelling of 2350234240 in words is "two billion, three hundred fifty million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 139 145 160 232 278 290 320 464 556 580 640 695 911 928 1112 1160 1390 1822 1856 2224 2320 2780 3644 3712 4031 4448 4555 4640 5560 7288 8062 8896 9110 9280 11120 14576 16124 17792 18220 18560 20155 22240 26419 29152 32248 36440 40310 44480 52838 58304 64496 72880 80620 88960 105676 116608 126629 128992 132095 145760 161240 211352 253258 257984 264190 291520 322480 422704 506516 515968 528380 583040 633145 644960 845408 1013032 1056760 1266290 1289920 1690816 2026064 2113520 2532580 2579840 3381632 3672241 4052128 4227040 5065160 7344482 8104256 8454080 10130320 14688964 16208512 16908160 18361205 20260640 29377928 36722410 40521280 58755856 73444820 81042560 117511712 146889640 235023424 293779280 470046848 587558560 1175117120 2350234240