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342032111292 = 223192379292297
BaseRepresentation
bin1001111101000101011…
…00111101011010111100
31012200211210202111212210
410332202230331122330
521100440210030132
6421043303100420
733465605656014
oct4764254753274
91180753674783
10342032111292
11122067234663
1256355a41710
132633abbc491
14127a9566c44
158d6c79cbcc
hex4fa2b3d6bc

342032111292 has 144 divisors (see below), whose sum is σ = 866362361760. Its totient is φ = 104932122624.

The previous prime is 342032111287. The next prime is 342032111299. The reversal of 342032111292 is 292111230243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342032111299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148902688 + ... + 148904984.

It is an arithmetic number, because the mean of its divisors is an integer number (6016405290).

Almost surely, 2342032111292 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 342032111292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433181180880).

342032111292 is an abundant number, since it is smaller than the sum of its proper divisors (524330250468).

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

342032111292 is a wasteful number, since it uses less digits than its factorization.

342032111292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 342032111292 in words is "three hundred forty-two billion, thirty-two million, one hundred eleven thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 361 444 703 722 929 1083 1406 1444 1858 2109 2166 2297 2787 2812 3716 4218 4332 4594 5574 6891 8436 9188 11148 13357 13782 17651 26714 27564 34373 35302 40071 43643 52953 53428 68746 70604 80142 84989 87286 103119 105906 130929 137492 160284 169978 174572 206238 211812 254967 261858 335369 339956 412476 509934 523716 653087 670738 829217 1006107 1019868 1306174 1341476 1614791 1658434 1959261 2012214 2133913 2487651 2612348 3229582 3316868 3918522 4024428 4267826 4844373 4975302 6401739 6459164 7837044 8535652 9688746 9950604 12408653 12803478 19377492 24817306 25606956 30681029 37225959 40544347 49634612 61362058 74451918 78954781 81088694 92043087 121633041 122724116 148903836 157909562 162177388 184086174 236864343 243266082 315819124 368172348 473728686 486532164 770342593 947457372 1500140839 1540685186 2311027779 3000281678 3081370372 4500422517 4622055558 6000563356 9000845034 9244111116 18001690068 28502675941 57005351882 85508027823 114010703764 171016055646 342032111292