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4348346640 = 2435111647101
BaseRepresentation
bin1000000110010111…
…01000000100010000
3102020001011220012120
410003023220010100
532401134043030
61555252054240
7212520223311
oct40313500420
912201156176
104348346640
11193158a210
12a14304380
13543b491a1
142d3710608
151a6b34010
hex1032e8110

4348346640 has 80 divisors (see below), whose sum is σ = 14705326656. Its totient is φ = 1054144000.

The previous prime is 4348346633. The next prime is 4348346659. The reversal of 4348346640 is 466438434.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4348346592 and 4348346601.

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, 820911 + ... + 826190.

Almost surely, 24348346640 is an apocalyptic number.

4348346640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4348346640 is an abundant number, since it is smaller than the sum of its proper divisors (10356980016).

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

4348346640 is a wasteful number, since it uses less digits than its factorization.

4348346640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647128 (or 1647122 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The square root of 4348346640 is about 65941.9945103270. The cubic root of 4348346640 is about 1632.2050576152.

The spelling of 4348346640 in words is "four billion, three hundred forty-eight million, three hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 1647101 3294202 4941303 6588404 8235505 9882606 13176808 16471010 18118111 19765212 24706515 26353616 32942020 36236222 39530424 49413030 54354333 65884040 72472444 79060848 90590555 98826060 108708666 131768080 144944888 181181110 197652120 217417332 271771665 289889776 362362220 395304240 434834664 543543330 724724440 869669328 1087086660 1449448880 2174173320 4348346640