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340215153330 = 235134322698941
BaseRepresentation
bin1001111001101100110…
…01110100001010110010
31012112011011211111010110
410330312121310022302
521033230034401310
6420143115242150
733402564042333
oct4746631641262
91175134744113
10340215153330
11121314648208
1255b29449356
132610b642820
141267611828a
158cb2ee4d20
hex4f366742b2

340215153330 has 128 divisors (see below), whose sum is σ = 900271975680. Its totient is φ = 81752509440.

The previous prime is 340215153283. The next prime is 340215153349. The reversal of 340215153330 is 33351512043.

340215153330 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38046660 + ... + 38055600.

It is an arithmetic number, because the mean of its divisors is an integer number (7033374810).

Almost surely, 2340215153330 is an apocalyptic number.

340215153330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340215153330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450135987840).

340215153330 is an abundant number, since it is smaller than the sum of its proper divisors (560056822350).

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

340215153330 is a wasteful number, since it uses less digits than its factorization.

340215153330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11276.

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 340215153330 its reverse (33351512043), we get a palindrome (373566665373).

The spelling of 340215153330 in words is "three hundred forty billion, two hundred fifteen million, one hundred fifty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 43 65 78 86 129 130 195 215 258 390 430 559 645 1118 1290 1677 2269 2795 3354 4538 5590 6807 8385 8941 11345 13614 16770 17882 22690 26823 29497 34035 44705 53646 58994 68070 88491 89410 97567 116233 134115 147485 176982 195134 232466 268230 292701 294970 348699 384463 442455 487835 581165 585402 697398 768926 884910 975670 1153389 1162330 1268371 1463505 1743495 1922315 2306778 2536742 2927010 3486990 3805113 3844630 4998019 5766945 6341855 7610226 9996038 11533890 12683710 14994057 19025565 20287129 24990095 29988114 38051130 40574258 49980190 60861387 74970285 101435645 121722774 149940570 202871290 263732677 304306935 527465354 608613870 791198031 872346547 1318663385 1582396062 1744693094 2617039641 2637326770 3955990155 4361732735 5234079282 7911980310 8723465470 11340505111 13085198205 22681010222 26170396410 34021515333 56702525555 68043030666 113405051110 170107576665 340215153330