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342138852 = 22321119371229
BaseRepresentation
bin10100011001001…
…001111111100100
3212211210110021100
4110121021333210
51200041420402
653541120100
711323063236
oct2431117744
9784713240
10342138852
11166145a90
12966b9030
1355b63033
1433622256
152008471c
hex14649fe4

342138852 has 144 divisors (see below), whose sum is σ = 1020801600. Its totient is φ = 95489280.

The previous prime is 342138827. The next prime is 342138859. The reversal of 342138852 is 258831243.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342138859) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277774 + ... + 279002.

It is an arithmetic number, because the mean of its divisors is an integer number (7088900).

Almost surely, 2342138852 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 342138852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510400800).

342138852 is an abundant number, since it is smaller than the sum of its proper divisors (678662748).

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

342138852 is a wasteful number, since it uses less digits than its factorization.

342138852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1301 counting only the distinct ones).

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

The square root of 342138852 is about 18496.9957560681. The cubic root of 342138852 is about 699.4136940931.

The spelling of 342138852 in words is "three hundred forty-two million, one hundred thirty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 37 38 44 57 66 74 76 99 111 114 132 148 171 198 209 222 228 333 342 396 407 418 444 627 666 684 703 814 836 1221 1229 1254 1332 1406 1628 1881 2109 2442 2458 2508 2812 3663 3687 3762 4218 4884 4916 6327 7326 7374 7524 7733 8436 11061 12654 13519 14652 14748 15466 22122 23199 23351 25308 27038 30932 40557 44244 45473 46398 46702 54076 69597 70053 81114 90946 92796 93404 121671 136419 139194 140106 162228 181892 210159 243342 256861 272838 278388 280212 409257 420318 486684 500203 513722 545676 770583 818514 840636 863987 1000406 1027444 1500609 1541166 1637028 1727974 2000812 2311749 2591961 3001218 3082332 3455948 4501827 4623498 5183922 6002436 7775883 9003654 9246996 9503857 10367844 15551766 18007308 19007714 28511571 31103532 38015428 57023142 85534713 114046284 171069426 342138852