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350028840 = 233572914369
BaseRepresentation
bin10100110111010…
…000010000101000
3220101122022022010
4110313100100220
51204101410330
654422155520
711450124150
oct2467202050
9811568263
10350028840
1116a644937
1299282ba0
1357696375
14346b7760
1520ae23b0
hex14dd0428

350028840 has 128 divisors (see below), whose sum is σ = 1241568000. Its totient is φ = 77242368.

The previous prime is 350028823. The next prime is 350028857. The reversal of 350028840 is 48820053.

It is an interprime number because it is at equal distance from previous prime (350028823) and next prime (350028857).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 350028798 and 350028807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17176 + ... + 31544.

It is an arithmetic number, because the mean of its divisors is an integer number (9699750).

Almost surely, 2350028840 is an apocalyptic number.

350028840 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 350028840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620784000).

350028840 is an abundant number, since it is smaller than the sum of its proper divisors (891539160).

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

350028840 is a wasteful number, since it uses less digits than its factorization.

350028840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14419 (or 14415 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 350028840 is about 18709.0576994139. The cubic root of 350028840 is about 704.7492292554.

Adding to 350028840 its reverse (48820053), we get a palindrome (398848893).

The spelling of 350028840 in words is "three hundred fifty million, twenty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 580 609 696 812 840 870 1015 1160 1218 1624 1740 2030 2436 3045 3480 4060 4872 6090 8120 12180 14369 24360 28738 43107 57476 71845 86214 100583 114952 143690 172428 201166 215535 287380 301749 344856 402332 416701 431070 502915 574760 603498 804664 833402 862140 1005830 1206996 1250103 1508745 1666804 1724280 2011660 2083505 2413992 2500206 2916907 3017490 3333608 4023320 4167010 5000412 5833814 6034980 6250515 8334020 8750721 10000824 11667628 12069960 12501030 14584535 16668040 17501442 23335256 25002060 29169070 35002884 43753605 50004120 58338140 70005768 87507210 116676280 175014420 350028840