Search a number
-
+
342190440 = 23335674729
BaseRepresentation
bin10100011001010…
…110100101101000
3212211220002001000
4110121112211220
51200100043230
653542155000
711323366524
oct2431264550
9784802030
10342190440
11166180819
1296722a60
1355b80667
1433636d84
1520094b60
hex14656968

342190440 has 128 divisors (see below), whose sum is σ = 1157904000. Its totient is φ = 89869824.

The previous prime is 342190439. The next prime is 342190441. The reversal of 342190440 is 44091243.

342190440 is a `hidden beast` number, since 3 + 4 + 219 + 0 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (342190439) and next prime (342190441).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (342190441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 69996 + ... + 74724.

It is an arithmetic number, because the mean of its divisors is an integer number (9046125).

Almost surely, 2342190440 is an apocalyptic number.

342190440 is a gapful number since it is divisible by the number (30) 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 342190440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578952000).

342190440 is an abundant number, since it is smaller than the sum of its proper divisors (815713560).

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

342190440 is a wasteful number, since it uses less digits than its factorization.

342190440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 342190440 is about 18498.3902002309. The cubic root of 342190440 is about 699.4488450658.

The spelling of 342190440 in words is "three hundred forty-two million, one hundred ninety thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 67 72 90 108 120 134 135 180 201 216 268 270 335 360 402 536 540 603 670 804 1005 1080 1206 1340 1608 1809 2010 2412 2680 3015 3618 4020 4729 4824 6030 7236 8040 9045 9458 12060 14187 14472 18090 18916 23645 24120 28374 36180 37832 42561 47290 56748 70935 72360 85122 94580 113496 127683 141870 170244 189160 212805 255366 283740 316843 340488 425610 510732 567480 633686 638415 851220 950529 1021464 1267372 1276830 1584215 1702440 1901058 2534744 2553660 2851587 3168430 3802116 4752645 5107320 5703174 6336860 7604232 8554761 9505290 11406348 12673720 14257935 17109522 19010580 22812696 28515870 34219044 38021160 42773805 57031740 68438088 85547610 114063480 171095220 342190440