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342807036 = 223113132127
BaseRepresentation
bin10100011011101…
…101000111111100
3212220001101211220
4110123231013330
51200224311121
654003313340
711331545265
oct2433550774
9786041756
10342807036
11166562000
129697b850
1356038200
143375796c
15201676c6
hex146ed1fc

342807036 has 144 divisors (see below), whose sum is σ = 960196608. Its totient is φ = 95135040.

The previous prime is 342807013. The next prime is 342807053. The reversal of 342807036 is 630708243.

It is a super-2 number, since 2×3428070362 = 235033327862210592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 342806988 and 342807006.

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, 2699205 + ... + 2699331.

It is an arithmetic number, because the mean of its divisors is an integer number (6668032).

Almost surely, 2342807036 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 342807036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480098304).

342807036 is an abundant number, since it is smaller than the sum of its proper divisors (617389572).

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

342807036 is a wasteful number, since it uses less digits than its factorization.

342807036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 342807036 is about 18515.0489062276. The cubic root of 342807036 is about 699.8687073490.

The spelling of 342807036 in words is "three hundred forty-two million, eight hundred seven thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 127 132 143 156 169 242 254 286 338 363 381 429 484 507 508 572 676 726 762 858 1014 1331 1397 1452 1524 1573 1651 1716 1859 2028 2662 2794 3146 3302 3718 3993 4191 4719 4953 5324 5577 5588 6292 6604 7436 7986 8382 9438 9906 11154 15367 15972 16764 17303 18161 18876 19812 20449 21463 22308 30734 34606 36322 40898 42926 46101 51909 54483 61347 61468 64389 69212 72644 81796 85852 92202 103818 108966 122694 128778 169037 184404 199771 207636 217932 224939 236093 245388 257556 338074 399542 449878 472186 507111 599313 674817 676148 708279 799084 899756 944372 1014222 1198626 1349634 1416558 2028444 2197481 2397252 2597023 2699268 2833116 4394962 5194046 6592443 7791069 8789924 10388092 13184886 15582138 26369772 28567253 31164276 57134506 85701759 114269012 171403518 342807036