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306805048974 = 2381734759
BaseRepresentation
bin1000111011011110000…
…00011000011010001110
31002022220202211100000000
410131233000120122032
520011314043031344
6352535544545130
731110625613304
oct4355700303216
91068822740000
10306805048974
1110912a4a7316
124b5644821a6
1322c159276c8
1410bc6c32274
157ea9d19a69
hex476f01868e

306805048974 has 144 divisors (see below), whose sum is σ = 733563885600. Its totient is φ = 96232339008.

The previous prime is 306805048969. The next prime is 306805049027. The reversal of 306805048974 is 479840508603.

306805048974 is a `hidden beast` number, since 3 + 0 + 68 + 0 + 504 + 8 + 9 + 74 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 306805048974.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64466007 + ... + 64470765.

It is an arithmetic number, because the mean of its divisors is an integer number (5094193650).

Almost surely, 2306805048974 is an apocalyptic number.

306805048974 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 306805048974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366781942800).

306805048974 is an abundant number, since it is smaller than the sum of its proper divisors (426758836626).

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

306805048974 is an frugal number, since it uses more digits than its factorization.

306805048974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4836 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 306805048974 in words is "three hundred six billion, eight hundred five million, forty-eight thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 289 306 459 486 578 729 867 918 1377 1458 1734 2187 2601 2754 4131 4374 4759 4913 5202 6561 7803 8262 9518 9826 12393 13122 14277 14739 15606 23409 24786 28554 29478 37179 42831 44217 46818 70227 74358 80903 85662 88434 111537 128493 132651 140454 161806 210681 223074 242709 256986 265302 385479 397953 421362 485418 632043 728127 770958 795906 1156437 1193859 1264086 1375351 1456254 1896129 2184381 2312874 2387718 2750702 3469311 3581577 3792258 4126053 4368762 6553143 6938622 7163154 8252106 10407933 10744731 12378159 13106286 19659429 20815866 21489462 23380967 24756318 31223799 32234193 37134477 39318858 46761934 58978287 62447598 64468386 70142901 74268954 111403431 117956574 140285802 176934861 210428703 222806862 334210293 353869722 420857406 530804583 631286109 668420586 1002630879 1061609166 1262572218 1893858327 2005261758 3007892637 3787716654 5681574981 6015785274 9023677911 11363149962 17044724943 18047355822 34089449886 51134174829 102268349658 153402524487 306805048974