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893715340 = 225747711913
BaseRepresentation
bin110101010001010…
…000001110001100
32022021200102222011
4311101100032030
53312242342330
6224403231004
731101312040
oct6521201614
92267612864
10893715340
1141952a621
1220b378464
13113205c5b
14869a2020
15536d982a
hex3545038c

893715340 has 96 divisors (see below), whose sum is σ = 2222567424. Its totient is φ = 295518720.

The previous prime is 893715299. The next prime is 893715341. The reversal of 893715340 is 43517398.

It is a junction number, because it is equal to n+sod(n) for n = 893715293 and 893715302.

It is not an unprimeable number, because it can be changed into a prime (893715341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466224 + ... + 468136.

It is an arithmetic number, because the mean of its divisors is an integer number (23151744).

Almost surely, 2893715340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 893715340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111283712).

893715340 is an abundant number, since it is smaller than the sum of its proper divisors (1328852084).

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

893715340 is a wasteful number, since it uses less digits than its factorization.

893715340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 893715340 is about 29895.0721691720. The cubic root of 893715340 is about 963.2368100776.

The spelling of 893715340 in words is "eight hundred ninety-three million, seven hundred fifteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 71 94 140 142 188 235 284 329 355 470 497 658 710 940 994 1316 1420 1645 1913 1988 2485 3290 3337 3826 4970 6580 6674 7652 9565 9940 13348 13391 16685 19130 23359 26782 33370 38260 46718 53564 66740 66955 89911 93436 116795 133910 135823 179822 233590 267820 271646 359644 449555 467180 543292 629377 679115 899110 950761 1258754 1358230 1798220 1901522 2517508 2716460 3146885 3803044 4753805 6293770 6383681 9507610 12587540 12767362 19015220 25534724 31918405 44685767 63836810 89371534 127673620 178743068 223428835 446857670 893715340