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34430747715 = 32571326411009
BaseRepresentation
bin100000000100001110…
…111000010001000011
310021212112112012121100
4200010032320101003
51031003232411330
623452310225443
72326140345450
oct400416702103
9107775465540
1034430747715
1113669294401
12680a955283
133329302500
141948a88827
15d67ad8060
hex8043b8443

34430747715 has 144 divisors (see below), whose sum is σ = 74044376640. Its totient is φ = 14491975680.

The previous prime is 34430747657. The next prime is 34430747783. The reversal of 34430747715 is 51774703443.

It is a happy number.

It is not a de Polignac number, because 34430747715 - 26 = 34430747651 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34123131 + ... + 34124139.

It is an arithmetic number, because the mean of its divisors is an integer number (514197060).

Almost surely, 234430747715 is an apocalyptic number.

34430747715 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34430747715 is an abundant number, since it is smaller than the sum of its proper divisors (39613628925).

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

34430747715 is a wasteful number, since it uses less digits than its factorization.

34430747715 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 34430747715 in words is "thirty-four billion, four hundred thirty million, seven hundred forty-seven thousand, seven hundred fifteen".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 169 195 273 315 455 507 585 641 819 845 1009 1183 1365 1521 1923 2535 3027 3205 3549 4095 4487 5045 5769 5915 7063 7605 8333 9081 9615 10647 13117 13461 15135 17745 21189 22435 24999 28845 35315 39351 40383 41665 45405 53235 58331 63567 65585 67305 74997 91819 105945 108329 118053 124995 170521 174993 196755 201915 275457 291655 317835 324987 374985 459095 511563 524979 541645 590265 646769 758303 826371 852605 874965 974961 1193647 1377285 1534689 1624935 1940307 2274909 2557815 2624895 3233845 3580941 3791515 4131855 4527383 4874805 5820921 5968235 6824727 7673445 8407997 9701535 10742823 11374545 13582149 17904705 22636915 25223991 29104605 34123635 40746447 42039985 53714115 58855979 67910745 75671973 109303961 126119955 176567937 203732235 294279895 327911883 378359865 529703811 546519805 765127727 882839685 983735649 1639559415 2295383181 2648519055 3825638635 4918678245 6886149543 11476915905 34430747715