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146365340 = 225113717981
BaseRepresentation
bin10001011100101…
…01101110011100
3101012102010111112
420232111232130
5244432142330
622305041152
73425041052
oct1056255634
9335363445
10146365340
117568a4a0
12410261b8
1324428714
14156201d2
15ccb2795
hex8b95b9c

146365340 has 48 divisors (see below), whose sum is σ = 344391264. Its totient is φ = 51782400.

The previous prime is 146365333. The next prime is 146365343. The reversal of 146365340 is 43563641.

It is a junction number, because it is equal to n+sod(n) for n = 146365297 and 146365306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146365343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 851 + ... + 17130.

It is an arithmetic number, because the mean of its divisors is an integer number (7174818).

Almost surely, 2146365340 is an apocalyptic number.

146365340 is a gapful number since it is divisible by the number (10) 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 146365340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172195632).

146365340 is an abundant number, since it is smaller than the sum of its proper divisors (198025924).

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

146365340 is a wasteful number, since it uses less digits than its factorization.

146365340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18038 (or 18036 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 146365340 is about 12098.1544047016. The cubic root of 146365340 is about 527.0025888419.

The spelling of 146365340 in words is "one hundred forty-six million, three hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 4070 8140 17981 35962 71924 89905 179810 197791 359620 395582 665297 791164 988955 1330594 1977910 2661188 3326485 3955820 6652970 7318267 13305940 14636534 29273068 36591335 73182670 146365340