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350297148 = 2231929311709
BaseRepresentation
bin10100111000010…
…001110000111100
3220102010221100110
4110320101300330
51204134002043
654432030020
711452322325
oct2470216074
9812127313
10350297148
1116a808483
1299392310
135775b526
143474744c
1520b46b33
hex14e11c3c

350297148 has 96 divisors (see below), whose sum is σ = 919296000. Its totient is φ = 103299840.

The previous prime is 350297141. The next prime is 350297161. The reversal of 350297148 is 841792053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350297141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204118 + ... + 205826.

It is an arithmetic number, because the mean of its divisors is an integer number (9576000).

Almost surely, 2350297148 is an apocalyptic number.

350297148 is a gapful number since it is divisible by the number (38) 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 350297148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459648000).

350297148 is an abundant number, since it is smaller than the sum of its proper divisors (568998852).

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

350297148 is a wasteful number, since it uses less digits than its factorization.

350297148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 350297148 is about 18716.2268633397. The cubic root of 350297148 is about 704.9292540045.

The spelling of 350297148 in words is "three hundred fifty million, two hundred ninety-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 29 31 38 57 58 62 76 87 93 114 116 124 174 186 228 348 372 551 589 899 1102 1178 1653 1709 1767 1798 2204 2356 2697 3306 3418 3534 3596 5127 5394 6612 6836 7068 10254 10788 17081 20508 32471 34162 49561 51243 52979 64942 68324 97413 99122 102486 105958 129884 148683 158937 194826 198244 204972 211916 297366 317874 389652 594732 635748 941659 1006601 1536391 1883318 2013202 2824977 3019803 3072782 3766636 4026404 4609173 5649954 6039606 6145564 9218346 11299908 12079212 18436692 29191429 58382858 87574287 116765716 175148574 350297148