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146910348 = 22341322683
BaseRepresentation
bin10001100000110…
…10110010001100
3101020102211010000
420300122302030
5300102112343
622324444300
73432501024
oct1060326214
9336384100
10146910348
1175a21a12
1241249690
1324589800
1415722a84
15cd6ded3
hex8c1ac8c

146910348 has 90 divisors (see below), whose sum is σ = 416022684. Its totient is φ = 45186336.

The previous prime is 146910347. The next prime is 146910349. The reversal of 146910348 is 843019641.

It is an interprime number because it is at equal distance from previous prime (146910347) and next prime (146910349).

It is a super-2 number, since 2×1469103482 = 43165300698962208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (146910341) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 53415 + ... + 56097.

Almost surely, 2146910348 is an apocalyptic number.

146910348 is a gapful number since it is divisible by the number (18) 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 146910348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208011342).

146910348 is an abundant number, since it is smaller than the sum of its proper divisors (269112336).

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

146910348 is a wasteful number, since it uses less digits than its factorization.

146910348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 146910348 is about 12120.6579029358. The cubic root of 146910348 is about 527.6558966606.

Adding to 146910348 its reverse (843019641), we get a palindrome (989929989).

The spelling of 146910348 in words is "one hundred forty-six million, nine hundred ten thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 676 702 1014 1053 1404 1521 2028 2106 2683 3042 4212 4563 5366 6084 8049 9126 10732 13689 16098 18252 24147 27378 32196 34879 48294 54756 69758 72441 96588 104637 139516 144882 209274 217323 289764 313911 418548 434646 453427 627822 869292 906854 941733 1255644 1360281 1813708 1883466 2720562 2825199 3766932 4080843 5441124 5650398 8161686 11300796 12242529 16323372 24485058 36727587 48970116 73455174 146910348