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350420040 = 233351917077
BaseRepresentation
bin10100111000101…
…111110001001000
3220102101011221000
4110320233301020
51204201420130
654434415000
711453343525
oct2470576110
9812334830
10350420040
1116a891843
1299431460
13577a2449
143477a14c
1520b6d260
hex14e2fc48

350420040 has 128 divisors (see below), whose sum is σ = 1229616000. Its totient is φ = 88521984.

The previous prime is 350420033. The next prime is 350420069. The reversal of 350420040 is 40024053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 350419995 and 350420022.

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, 11982 + ... + 29058.

It is an arithmetic number, because the mean of its divisors is an integer number (9606375).

Almost surely, 2350420040 is an apocalyptic number.

350420040 is a gapful number since it is divisible by the number (30) 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 350420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614808000).

350420040 is an abundant number, since it is smaller than the sum of its proper divisors (879195960).

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

350420040 is a wasteful number, since it uses less digits than its factorization.

350420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17116 (or 17106 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 350420040 is about 18719.5096089614. The cubic root of 350420040 is about 705.0116792995.

Adding to 350420040 its reverse (40024053), we get a palindrome (390444093).

The spelling of 350420040 in words is "three hundred fifty million, four hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 17077 20520 34154 51231 68308 85385 102462 136616 153693 170770 204924 256155 307386 324463 341540 409848 461079 512310 614772 648926 683080 768465 922158 973389 1024620 1229544 1297852 1536930 1622315 1844316 1946778 2049240 2305395 2595704 2920167 3073860 3244630 3688632 3893556 4610790 4866945 5840334 6147720 6489260 7787112 8760501 9221580 9733890 11680668 12978520 14600835 17521002 18443160 19467780 23361336 29201670 35042004 38935560 43802505 58403340 70084008 87605010 116806680 175210020 350420040