Search a number
-
+
1071334320 = 24357637699
BaseRepresentation
bin111111110110110…
…100001110110000
32202122220102101220
4333312310032300
54143230144240
6254150225040
735356122450
oct7766641660
92678812356
101071334320
114aa816371
1225a955180
13140c55144
14a23d9d60
15640c25d0
hex3fdb43b0

1071334320 has 80 divisors (see below), whose sum is σ = 3795590400. Its totient is φ = 244876032.

The previous prime is 1071334307. The next prime is 1071334333. The reversal of 1071334320 is 234331701.

It is an interprime number because it is at equal distance from previous prime (1071334307) and next prime (1071334333).

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

It is a super-2 number, since 2×10713343202 = 2295514450419724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 317170 + ... + 320529.

It is an arithmetic number, because the mean of its divisors is an integer number (47444880).

Almost surely, 21071334320 is an apocalyptic number.

1071334320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1071334320 is an abundant number, since it is smaller than the sum of its proper divisors (2724256080).

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

1071334320 is a wasteful number, since it uses less digits than its factorization.

1071334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637722 (or 637716 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 1071334320 is about 32731.2437893826. The cubic root of 1071334320 is about 1023.2341023816.

The spelling of 1071334320 in words is "one billion, seventy-one million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 637699 1275398 1913097 2550796 3188495 3826194 4463893 5101592 6376990 7652388 8927786 9565485 10203184 12753980 13391679 15304776 17855572 19130970 22319465 25507960 26783358 30609552 35711144 38261940 44638930 51015920 53566716 66958395 71422288 76523880 89277860 107133432 133916790 153047760 178555720 214266864 267833580 357111440 535667160 1071334320