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342609372 = 223372101641
BaseRepresentation
bin10100011010111…
…100110111011100
3212212200100201000
4110122330313130
51200201444442
653555150300
711330063100
oct2432746734
9785610630
10342609372
11166437546
12968a5390
1355c99251
1433705900
1520128d4c
hex146bcddc

342609372 has 144 divisors (see below), whose sum is σ = 1045124640. Its totient is φ = 96768000.

The previous prime is 342609359. The next prime is 342609433. The reversal of 342609372 is 273906243.

It is a happy number.

342609372 is a `hidden beast` number, since 3 + 42 + 609 + 3 + 7 + 2 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534172 + ... + 534812.

It is an arithmetic number, because the mean of its divisors is an integer number (7257810).

Almost surely, 2342609372 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 342609372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522562320).

342609372 is an abundant number, since it is smaller than the sum of its proper divisors (702515268).

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

342609372 is a wasteful number, since it uses less digits than its factorization.

342609372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 342609372 is about 18509.7102084284. The cubic root of 342609372 is about 699.7341657254.

The spelling of 342609372 in words is "three hundred forty-two million, six hundred nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 101 108 126 147 189 196 202 252 294 303 378 404 441 588 606 641 707 756 882 909 1212 1282 1323 1414 1764 1818 1923 2121 2564 2646 2727 2828 3636 3846 4242 4487 4949 5292 5454 5769 6363 7692 8484 8974 9898 10908 11538 12726 13461 14847 17307 17948 19089 19796 23076 25452 26922 29694 31409 34614 38178 40383 44541 53844 59388 62818 64741 69228 76356 80766 89082 94227 121149 125636 129482 133623 161532 178164 188454 194223 242298 258964 267246 282681 376908 388446 453187 484596 534492 565362 582669 776892 848043 906374 1130724 1165338 1359561 1696086 1748007 1812748 2330676 2719122 3172309 3392172 3496014 4078683 5438244 6344618 6992028 8157366 9516927 12236049 12689236 16314732 19033854 24472098 28550781 38067708 48944196 57101562 85652343 114203124 171304686 342609372