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344742156 = 223511191697
BaseRepresentation
bin10100100011000…
…101100100001100
3220000200201100000
4110203011210030
51201223222111
654113004300
711354155113
oct2443054414
9800621300
10344742156
11167663980
1297553690
1356564c55
1433adcc7a
15203eac56
hex148c590c

344742156 has 144 divisors (see below), whose sum is σ = 1038360960. Its totient is φ = 98910720.

The previous prime is 344742149. The next prime is 344742161. The reversal of 344742156 is 651247443.

344742156 is a `hidden beast` number, since 34 + 474 + 2 + 156 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 344742156.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202300 + ... + 203996.

It is an arithmetic number, because the mean of its divisors is an integer number (7210840).

Almost surely, 2344742156 is an apocalyptic number.

344742156 is a gapful number since it is divisible by the number (36) 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 344742156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519180480).

344742156 is an abundant number, since it is smaller than the sum of its proper divisors (693618804).

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

344742156 is a wasteful number, since it uses less digits than its factorization.

344742156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1732 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 344742156 is about 18567.2333964972. The cubic root of 344742156 is about 701.1831392686.

Adding to 344742156 its reverse (651247443), we get a palindrome (995989599).

The spelling of 344742156 in words is "three hundred forty-four million, seven hundred forty-two thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 81 99 108 114 132 162 171 198 209 228 243 297 324 342 396 418 486 513 594 627 684 836 891 972 1026 1188 1254 1539 1697 1782 1881 2052 2508 2673 3078 3394 3564 3762 4617 5091 5346 5643 6156 6788 7524 9234 10182 10692 11286 15273 16929 18468 18667 20364 22572 30546 32243 33858 37334 45819 50787 56001 61092 64486 67716 74668 91638 96729 101574 112002 128972 137457 168003 183276 193458 203148 224004 274914 290187 336006 354673 386916 412371 504009 549828 580374 672012 709346 824742 870561 1008018 1064019 1160748 1418692 1512027 1649484 1741122 2016036 2128038 2611683 3024054 3192057 3482244 4256076 4536081 5223366 6048108 6384114 7835049 9072162 9576171 10446732 12768228 15670098 18144324 19152342 28728513 31340196 38304684 57457026 86185539 114914052 172371078 344742156