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345608564010 = 235172923367719
BaseRepresentation
bin1010000011101111110…
…00000010110100101010
31020001002001111010200120
411001313320002310222
521130301243022020
6422434222544110
733653334215613
oct5016770026452
91201061433616
10345608564010
1112363202a506
1256b93738036
132678ab466a8
1412a28546c0a
158ecb75c740
hex5077e02d2a

345608564010 has 64 divisors (see below), whose sum is σ = 908536953600. Its totient is φ = 83749901312.

The previous prime is 345608563973. The next prime is 345608564017. The reversal of 345608564010 is 10465806543.

It is not an unprimeable number, because it can be changed into a prime (345608564017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11669070 + ... + 11698649.

It is an arithmetic number, because the mean of its divisors is an integer number (14195889900).

Almost surely, 2345608564010 is an apocalyptic number.

345608564010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345608564010 is an abundant number, since it is smaller than the sum of its proper divisors (562928389590).

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

345608564010 is a wasteful number, since it uses less digits than its factorization.

345608564010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23367775.

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 345608564010 in words is "three hundred forty-five billion, six hundred eight million, five hundred sixty-four thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 58 85 87 102 145 170 174 255 290 435 493 510 870 986 1479 2465 2958 4930 7395 14790 23367719 46735438 70103157 116838595 140206314 233677190 350515785 397251223 677663851 701031570 794502446 1191753669 1355327702 1986256115 2032991553 2383507338 3388319255 3972512230 4065983106 5958768345 6776638510 10164957765 11520285467 11917536690 20329915530 23040570934 34560856401 57601427335 69121712802 115202854670 172804282005 345608564010