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346042136 = 231119673089
BaseRepresentation
bin10100101000000…
…010111100011000
3220010010202120102
4110220002330120
51202041322021
654200514532
711401211126
oct2450027430
9803122512
10346042136
11168371640
1297a7ba48
13568cb87b
1433d5a916
15205a600b
hex14a02f18

346042136 has 64 divisors (see below), whose sum is σ = 756432000. Its totient is φ = 146741760.

The previous prime is 346042097. The next prime is 346042183. The reversal of 346042136 is 631240643.

It is a junction number, because it is equal to n+sod(n) for n = 346042099 and 346042108.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 110480 + ... + 113568.

It is an arithmetic number, because the mean of its divisors is an integer number (11819250).

Almost surely, 2346042136 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 346042136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378216000).

346042136 is an abundant number, since it is smaller than the sum of its proper divisors (410389864).

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

346042136 is a wasteful number, since it uses less digits than its factorization.

346042136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 346042136 is about 18602.2078259544. The cubic root of 346042136 is about 702.0633920292.

Adding to 346042136 its reverse (631240643), we get a palindrome (977282779).

The spelling of 346042136 in words is "three hundred forty-six million, forty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 19 22 38 44 67 76 88 134 152 209 268 418 536 737 836 1273 1474 1672 2546 2948 3089 5092 5896 6178 10184 12356 14003 24712 28006 33979 56012 58691 67958 112024 117382 135916 206963 234764 271832 413926 469528 645601 827852 1291202 1655704 2276593 2582404 3932297 4553186 5164808 7864594 9106372 15729188 18212744 31458376 43255267 86510534 173021068 346042136