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345433110330 = 235711972115383
BaseRepresentation
bin1010000011011010110…
…10101111011100111010
31020000121211100011111010
411001231122233130322
521124421334012310
6422404554214350
733646103664060
oct5015532573472
91200554304433
10345433110330
11123551a92570
1256b44a243b6
13267606a4c49
1412a0d114030
158ebb151320
hex506d6af73a

345433110330 has 128 divisors (see below), whose sum is σ = 1033781170176. Its totient is φ = 71766259200.

The previous prime is 345433110317. The next prime is 345433110331. The reversal of 345433110330 is 33011334543.

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

It is not an unprimeable number, because it can be changed into a prime (345433110331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22447819 + ... + 22463201.

It is an arithmetic number, because the mean of its divisors is an integer number (8076415392).

Almost surely, 2345433110330 is an apocalyptic number.

345433110330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345433110330 is an abundant number, since it is smaller than the sum of its proper divisors (688348059846).

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

345433110330 is a wasteful number, since it uses less digits than its factorization.

345433110330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25132.

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 345433110330 its reverse (33011334543), we get a palindrome (378444444873).

The spelling of 345433110330 in words is "three hundred forty-five billion, four hundred thirty-three million, one hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 9721 15383 19442 29163 30766 46149 48605 58326 68047 76915 92298 97210 106931 107681 136094 145815 153830 169213 204141 213862 215362 230745 291630 320793 323043 338426 340235 408282 461490 507639 534655 538405 641586 646086 680470 748517 846065 1015278 1020705 1069310 1076810 1184491 1497034 1603965 1615215 1692130 2041410 2245551 2368982 2538195 3207930 3230430 3553473 3742585 4491102 5076390 5922455 7106946 7485170 11227755 11844910 17767365 22455510 35534730 149538143 299076286 448614429 747690715 897228858 1046767001 1495381430 1644919573 2093534002 2243072145 3140301003 3289839146 4486144290 4934758719 5233835005 6280602006 8224597865 9869517438 10467670010 11514437011 15701505015 16449195730 23028874022 24673793595 31403010030 34543311033 49347587190 57572185055 69086622066 115144370110 172716555165 345433110330