Search a number
-
+
1034470740 = 2235173732719
BaseRepresentation
bin111101101010001…
…100010101010100
32200002112120002010
4331222030111110
54104311030430
6250352144220
734430566452
oct7552142524
92602476063
101034470740
11490a281a6
1224a538070
13136419084
149b5619d2
1560c3ecb0
hex3da8c554

1034470740 has 96 divisors (see below), whose sum is σ = 3076254720. Its totient is φ = 258840576.

The previous prime is 1034470739. The next prime is 1034470741. The reversal of 1034470740 is 470744301.

1034470740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1034470739) and next prime (1034470741).

It is a super-2 number, since 2×10344707402 = 2140259423832295200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1034470698 and 1034470707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034470741) 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, 379101 + ... + 381819.

It is an arithmetic number, because the mean of its divisors is an integer number (32044320).

Almost surely, 21034470740 is an apocalyptic number.

1034470740 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 1034470740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538127360).

1034470740 is an abundant number, since it is smaller than the sum of its proper divisors (2041783980).

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

1034470740 is a wasteful number, since it uses less digits than its factorization.

1034470740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 1034470740 is about 32163.1892075397. The cubic root of 1034470740 is about 1011.3606925737.

The spelling of 1034470740 in words is "one billion, thirty-four million, four hundred seventy thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 373 510 746 1020 1119 1492 1865 2238 2719 3730 4476 5438 5595 6341 7460 8157 10876 11190 12682 13595 16314 19023 22380 25364 27190 31705 32628 38046 40785 46223 54380 63410 76092 81570 92446 95115 126820 138669 163140 184892 190230 231115 277338 380460 462230 554676 693345 924460 1014187 1386690 2028374 2773380 3042561 4056748 5070935 6085122 10141870 12170244 15212805 17241179 20283740 30425610 34482358 51723537 60851220 68964716 86205895 103447074 172411790 206894148 258617685 344823580 517235370 1034470740