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3430630360344 = 2331115782769503
BaseRepresentation
bin110001111011000001100…
…000010000010100011000
3110010222001112021011122110
4301323001200100110120
5422201412333012334
611144002042352320
7502566134632155
oct61730140202430
913128045234573
103430630360344
111102a16447170
12474a671bb6a0
131bb678ccbc05
14bc08711122c
155e38a27eae9
hex31ec1810518

3430630360344 has 64 divisors (see below), whose sum is σ = 9415858775040. Its totient is φ = 1032963384960.

The previous prime is 3430630360337. The next prime is 3430630360373. The reversal of 3430630360344 is 4430630360343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41343304 + ... + 41426199.

It is an arithmetic number, because the mean of its divisors is an integer number (147122793360).

Almost surely, 23430630360344 is an apocalyptic number.

It is an amenable number.

3430630360344 is an abundant number, since it is smaller than the sum of its proper divisors (5985228414696).

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

3430630360344 is a wasteful number, since it uses less digits than its factorization.

3430630360344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82769680 (or 82769676 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 39.

Subtracting 3430630360344 from its reverse (4430630360343), we obtain a palindrome (999999999999).

The spelling of 3430630360344 in words is "three trillion, four hundred thirty billion, six hundred thirty million, three hundred sixty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 157 264 314 471 628 942 1256 1727 1884 3454 3768 5181 6908 10362 13816 20724 41448 82769503 165539006 248308509 331078012 496617018 662156024 910464533 993234036 1820929066 1986468072 2731393599 3641858132 5462787198 7283716264 10925574396 12994811971 21851148792 25989623942 38984435913 51979247884 77968871826 103958495768 142942931681 155937743652 285885863362 311875487304 428828795043 571771726724 857657590086 1143543453448 1715315180172 3430630360344