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350140120 = 23511273991
BaseRepresentation
bin10100110111101…
…011011011011000
3220101211221221121
4110313223123120
51204113440440
654424415024
711451066451
oct2467533330
9811757847
10350140120
1116a710500
1299317474
1357704c05
1434706128
1520b1534a
hex14deb6d8

350140120 has 96 divisors (see below), whose sum is σ = 878693760. Its totient is φ = 125452800.

The previous prime is 350140081. The next prime is 350140127. The reversal of 350140120 is 21041053.

It is a super-2 number, since 2×3501401202 = 245196207267228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 350140094 and 350140103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350140127) 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 23 ways as a sum of consecutive naturals, for example, 352825 + ... + 353815.

It is an arithmetic number, because the mean of its divisors is an integer number (9153060).

Almost surely, 2350140120 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 350140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439346880).

350140120 is an abundant number, since it is smaller than the sum of its proper divisors (528553640).

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

350140120 is a wasteful number, since it uses less digits than its factorization.

350140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 350140120 is about 18712.0314236590. The cubic root of 350140120 is about 704.8239051829.

Adding to 350140120 its reverse (21041053), we get a palindrome (371181173).

The spelling of 350140120 in words is "three hundred fifty million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 121 146 220 242 292 365 440 484 584 605 730 803 968 991 1210 1460 1606 1982 2420 2920 3212 3964 4015 4840 4955 6424 7928 8030 8833 9910 10901 16060 17666 19820 21802 32120 35332 39640 43604 44165 54505 70664 72343 87208 88330 109010 119911 144686 176660 218020 239822 289372 353320 361715 436040 479644 578744 599555 723430 795773 959288 1199110 1446860 1591546 2398220 2893720 3183092 3978865 4796440 6366184 7957730 8753503 15915460 17507006 31830920 35014012 43767515 70028024 87535030 175070060 350140120