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146342352 = 24313298087
BaseRepresentation
bin10001011100100…
…00000111010000
3101012100221222010
420232100013100
5244430423402
622304342520
73424614042
oct1056200720
9335327863
10146342352
11756741a2
1241014a40
132441b110
1415615a92
15ccaaa6c
hex8b901d0

146342352 has 80 divisors (see below), whose sum is σ = 421223040. Its totient is φ = 43470336.

The previous prime is 146342347. The next prime is 146342377. The reversal of 146342352 is 253243641.

146342352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14053 + ... + 22139.

It is an arithmetic number, because the mean of its divisors is an integer number (5265288).

Almost surely, 2146342352 is an apocalyptic number.

146342352 is a gapful number since it is divisible by the number (12) 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 146342352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210611520).

146342352 is an abundant number, since it is smaller than the sum of its proper divisors (274880688).

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

146342352 is a wasteful number, since it uses less digits than its factorization.

146342352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8140 (or 8134 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 146342352 is about 12097.2043051277. The cubic root of 146342352 is about 526.9749972235.

Adding to 146342352 its reverse (253243641), we get a palindrome (399585993).

The spelling of 146342352 in words is "one hundred forty-six million, three hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1392 1508 2262 3016 4524 6032 8087 9048 16174 18096 24261 32348 48522 64696 97044 105131 129392 194088 210262 234523 315393 388176 420524 469046 630786 703569 841048 938092 1261572 1407138 1682096 1876184 2523144 2814276 3048799 3752368 5046288 5628552 6097598 9146397 11257104 12195196 18292794 24390392 36585588 48780784 73171176 146342352