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345184380 = 223253161861
BaseRepresentation
bin10100100100110…
…001100001111100
3220001112011221200
4110210301201330
51201331400010
654130255500
711361006312
oct2444614174
9801464850
10345184380
11167936152
1297727590
135668b318
1433bb60b2
1520486cc0
hex1493187c

345184380 has 72 divisors (see below), whose sum is σ = 1080852864. Its totient is φ = 89078400.

The previous prime is 345184373. The next prime is 345184393. The reversal of 345184380 is 83481543.

345184380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25351 + ... + 36510.

Almost surely, 2345184380 is an apocalyptic number.

345184380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345184380 is an abundant number, since it is smaller than the sum of its proper divisors (735668484).

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

345184380 is a wasteful number, since it uses less digits than its factorization.

345184380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61907 (or 61902 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 345184380 is about 18579.1383007932. The cubic root of 345184380 is about 701.4828294523.

The spelling of 345184380 in words is "three hundred forty-five million, one hundred eighty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 61861 123722 185583 247444 309305 371166 556749 618610 742332 927915 1113498 1237220 1855830 1917691 2226996 2783745 3711660 3835382 5567490 5753073 7670764 9588455 11134980 11506146 17259219 19176910 23012292 28765365 34518438 38353820 57530730 69036876 86296095 115061460 172592190 345184380