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345018304824 = 233617110213251
BaseRepresentation
bin1010000010101001011…
…00011000100100111000
31012222112220210212022020
411001110230120210320
521123044141223244
6422255455354440
733632606126424
oct5012454304470
91188486725266
10345018304824
11123359924aa6
1256a49b22a20
13266c577b6bb
14129addb7b84
158e94a15d19
hex5054b18938

345018304824 has 128 divisors (see below), whose sum is σ = 890178024960. Its totient is φ = 111384000000.

The previous prime is 345018304823. The next prime is 345018304867. The reversal of 345018304824 is 428403810543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345018304823) 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, 106125199 + ... + 106128449.

It is an arithmetic number, because the mean of its divisors is an integer number (6954515820).

Almost surely, 2345018304824 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 345018304824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445089012480).

345018304824 is an abundant number, since it is smaller than the sum of its proper divisors (545159720136).

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

345018304824 is a wasteful number, since it uses less digits than its factorization.

345018304824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 345018304824 in words is "three hundred forty-five billion, eighteen million, three hundred four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 61 71 122 142 183 213 244 284 366 426 488 568 732 852 1021 1464 1704 2042 3063 3251 4084 4331 6126 6502 8168 8662 9753 12252 12993 13004 17324 19506 24504 25986 26008 34648 39012 51972 62281 72491 78024 103944 124562 144982 186843 198311 217473 230821 249124 289964 373686 396622 434946 461642 498248 579928 594933 692463 747372 793244 869892 923284 1189866 1384926 1494744 1586488 1739784 1846568 2379732 2769852 3319271 4421951 4759464 5539704 6638542 8843902 9957813 13265853 13277084 14080081 17687804 19915626 26531706 26554168 28160162 35375608 39831252 42240243 53063412 56320324 79662504 84480486 106126824 112640648 168960972 202475531 235668241 337921944 404951062 471336482 607426593 707004723 809902124 942672964 1214853186 1414009446 1619804248 1885345928 2429706372 2828018892 4859412744 5656037784 14375762701 28751525402 43127288103 57503050804 86254576206 115006101608 172509152412 345018304824