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1670681340 = 2232519348091
BaseRepresentation
bin110001110010100…
…1001001011111100
311022102200101221200
41203211021023330
511410143300330
6433440255500
756254362036
oct14345111374
94272611850
101670681340
11788068689
123a7611590
13208182753
1411bc52c56
159ba11a60
hex639492fc

1670681340 has 72 divisors (see below), whose sum is σ = 5094097008. Its totient is φ = 443197440.

The previous prime is 1670681339. The next prime is 1670681399. The reversal of 1670681340 is 431860761.

1670681340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16706813402 = 5582352279648391200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1670681295 and 1670681304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10695 + ... + 58785.

Almost surely, 21670681340 is an apocalyptic number.

1670681340 is a gapful number since it is divisible by the number (10) 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 1670681340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547048504).

1670681340 is an abundant number, since it is smaller than the sum of its proper divisors (3423415668).

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

1670681340 is a wasteful number, since it uses less digits than its factorization.

1670681340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48299 (or 48294 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1670681340 is about 40873.9689778225. The cubic root of 1670681340 is about 1186.5823224500.

The spelling of 1670681340 in words is "one billion, six hundred seventy million, six hundred eighty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 193 386 579 772 965 1158 1737 1930 2316 2895 3474 3860 5790 6948 8685 11580 17370 34740 48091 96182 144273 192364 240455 288546 432819 480910 577092 721365 865638 961820 1442730 1731276 2164095 2885460 4328190 8656380 9281563 18563126 27844689 37126252 46407815 55689378 83534067 92815630 111378756 139223445 167068134 185631260 278446890 334136268 417670335 556893780 835340670 1670681340