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3134640 = 243537353
BaseRepresentation
bin1011111101010010110000
312220020220210
423331102300
51300302030
6151104120
735433615
oct13752260
95806823
103134640
111851113
121072040
13859a22
145b850c
1541dbb0
hex2fd4b0

3134640 has 80 divisors (see below), whose sum is σ = 10008288. Its totient is φ = 811008.

The previous prime is 3134633. The next prime is 3134671. The reversal of 3134640 is 464313.

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

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, 8704 + ... + 9056.

Almost surely, 23134640 is an apocalyptic number.

3134640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004144).

3134640 is an abundant number, since it is smaller than the sum of its proper divisors (6873648).

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

3134640 is a wasteful number, since it uses less digits than its factorization.

3134640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3134640 is about 1770.4914571949. The cubic root of 3134640 is about 146.3510660907.

Adding to 3134640 its reverse (464313), we get a palindrome (3598953).

The spelling of 3134640 in words is "three million, one hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 353 370 444 555 592 706 740 888 1059 1110 1412 1480 1765 1776 2118 2220 2824 2960 3530 4236 4440 5295 5648 7060 8472 8880 10590 13061 14120 16944 21180 26122 28240 39183 42360 52244 65305 78366 84720 104488 130610 156732 195915 208976 261220 313464 391830 522440 626928 783660 1044880 1567320 3134640