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350147340 = 223351374733
BaseRepresentation
bin10100110111101…
…101001100001100
3220101212022212000
4110313231030030
51204114203330
654424512300
711451126504
oct2467551414
9811768760
10350147340
1116a715974
129931b690
135770829a
1434708a04
1520b17560
hex14ded30c

350147340 has 96 divisors (see below), whose sum is σ = 1097530560. Its totient is φ = 92671488.

The previous prime is 350147327. The next prime is 350147383. The reversal of 350147340 is 43741053.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 71614 + ... + 76346.

It is an arithmetic number, because the mean of its divisors is an integer number (11432610).

Almost surely, 2350147340 is an apocalyptic number.

350147340 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 350147340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548765280).

350147340 is an abundant number, since it is smaller than the sum of its proper divisors (747383220).

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

350147340 is a wasteful number, since it uses less digits than its factorization.

350147340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4888 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 350147340 is about 18712.2243466671. The cubic root of 350147340 is about 704.8287497136.

Adding to 350147340 its reverse (43741053), we get a palindrome (393888393).

The spelling of 350147340 in words is "three hundred fifty million, one hundred forty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 137 180 270 274 411 540 548 685 822 1233 1370 1644 2055 2466 2740 3699 4110 4733 4932 6165 7398 8220 9466 12330 14199 14796 18495 18932 23665 24660 28398 36990 42597 47330 56796 70995 73980 85194 94660 127791 141990 170388 212985 255582 283980 425970 511164 638955 648421 851940 1277910 1296842 1945263 2555820 2593684 3242105 3890526 5835789 6484210 7781052 9726315 11671578 12968420 17507367 19452630 23343156 29178945 35014734 38905260 58357890 70029468 87536835 116715780 175073670 350147340