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340152152112 = 243319193214723
BaseRepresentation
bin1001111001100101010…
…01011111000000110000
31012111222210021200201000
410330302221133000300
521033112422331422
6420132545042000
733401200405323
oct4746251370060
91174883250630
10340152152112
11121292027493
1255b10326300
13260cb5847b6
141266b9d87ba
158cac6eccac
hex4f32a5f030

340152152112 has 160 divisors (see below), whose sum is σ = 1033080108800. Its totient is φ = 106859409408.

The previous prime is 340152152083. The next prime is 340152152173. The reversal of 340152152112 is 211251251043.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1476783 + ... + 1691505.

It is an arithmetic number, because the mean of its divisors is an integer number (6456750680).

Almost surely, 2340152152112 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 340152152112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516540054400).

340152152112 is an abundant number, since it is smaller than the sum of its proper divisors (692927956688).

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

340152152112 is a wasteful number, since it uses less digits than its factorization.

340152152112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214952 (or 214940 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 340152152112 in words is "three hundred forty billion, one hundred fifty-two million, one hundred fifty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 193 216 228 304 342 386 432 456 513 579 684 772 912 1026 1158 1368 1544 1737 2052 2316 2736 3088 3474 3667 4104 4632 5211 6948 7334 8208 9264 10422 11001 13896 14668 20844 22002 27792 29336 33003 41688 44004 58672 66006 83376 88008 99009 132012 176016 198018 214723 264024 396036 429446 528048 644169 792072 858892 1288338 1584144 1717784 1932507 2576676 3435568 3865014 4079737 5153352 5797521 7730028 8159474 10306704 11595042 12239211 15460056 16318948 23190084 24478422 30920112 32637896 36717633 41441539 46380168 48956844 65275792 73435266 82883078 92760336 97913688 110152899 124324617 146870532 165766156 195827376 220305798 248649234 293741064 331532312 372973851 440611596 497298468 587482128 663064624 745947702 787389241 881223192 994596936 1118921553 1491895404 1574778482 1762446384 1989193872 2237843106 2362167723 2983790808 3149556964 4475686212 4724335446 5967581616 6299113928 7086503169 8951372424 9448670892 12598227856 14173006338 17902744848 18897341784 21259509507 28346012676 37794683568 42519019014 56692025352 85038038028 113384050704 170076076056 340152152112