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345442521468 = 223113770729427
BaseRepresentation
bin1010000011011011111…
…10101001000101111100
31020000122111001022010210
411001231332221011330
521124431241141333
6422405532032420
733646246661562
oct5015576510574
91200574038123
10345442521468
11123557330270
1256b48002710
132676261b775
1412a10483a32
158ebbdaea63
hex506dfa917c

345442521468 has 48 divisors (see below), whose sum is σ = 903073336704. Its totient is φ = 101850373440.

The previous prime is 345442521467. The next prime is 345442521493. The reversal of 345442521468 is 864125244543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345442521461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35359830 + ... + 35369597.

It is an arithmetic number, because the mean of its divisors is an integer number (18814027848).

Almost surely, 2345442521468 is an apocalyptic number.

It is an amenable number.

345442521468 is an abundant number, since it is smaller than the sum of its proper divisors (557630815236).

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

345442521468 is a wasteful number, since it uses less digits than its factorization.

345442521468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70729482 (or 70729480 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

The spelling of 345442521468 in words is "three hundred forty-five billion, four hundred forty-two million, five hundred twenty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 70729427 141458854 212188281 282917708 424376562 778023697 848753124 1556047394 2334071091 2616988799 3112094788 4668142182 5233977598 7850966397 9336284364 10467955196 15701932794 28786876789 31403865588 57573753578 86360630367 115147507156 172721260734 345442521468