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5434774345 = 5711131967853
BaseRepresentation
bin1010000111111000…
…00001001101001001
3112000202111010211201
411003330001031021
542112300234340
62255142024201
7251451551110
oct50374011511
915022433751
105434774345
112339874450
121078118061
13687c57310
14397b18c77
1521c1d879a
hex143f01349

5434774345 has 128 divisors (see below), whose sum is σ = 9365852160. Its totient is φ = 2915066880.

The previous prime is 5434774327. The next prime is 5434774349.

It is a happy number.

5434774345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5434774345 - 25 = 5434774313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5434774295 and 5434774304.

It is not an unprimeable number, because it can be changed into a prime (5434774349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6370939 + ... + 6371791.

It is an arithmetic number, because the mean of its divisors is an integer number (73170720).

Almost surely, 25434774345 is an apocalyptic number.

5434774345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5434774345 is a deficient number, since it is larger than the sum of its proper divisors (3931077815).

5434774345 is a wasteful number, since it uses less digits than its factorization.

5434774345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975.

The product of its digits is 2822400, while the sum is 46.

The square root of 5434774345 is about 73720.9220303165. The cubic root of 5434774345 is about 1758.1685434737.

The spelling of 5434774345 in words is "five billion, four hundred thirty-four million, seven hundred seventy-four thousand, three hundred forty-five".

Divisors: 1 5 7 11 13 19 35 55 65 67 77 91 95 133 143 209 247 335 385 455 469 665 715 737 853 871 1001 1045 1235 1273 1463 1729 2345 2717 3685 4265 4355 5005 5159 5971 6097 6365 7315 8645 8911 9383 9581 11089 13585 14003 16207 16549 19019 25795 29855 30485 44555 46915 47905 55445 57151 65681 67067 70015 77623 81035 82745 95095 98021 113449 115843 121979 178277 182039 210691 285755 328405 335335 388115 400057 490105 567245 579215 609895 628661 742963 853853 891385 910195 1053455 1085869 1247939 1274273 1474837 2000285 2317601 3143305 3714815 4269265 4400627 5200741 5429345 6239695 6371365 7374185 7601083 8172593 11588005 11944559 14116297 16223207 22003135 26003705 38005415 40862965 57208151 59722795 70581485 81116035 83611913 98814079 155279267 286040755 418059565 494070395 776396335 1086954869 5434774345