Search a number
-
+
1034407140 = 2235134330841
BaseRepresentation
bin111101101001111…
…100110011100100
32200002102022211120
4331221330303210
54104302012030
6250350533540
734430213154
oct7551746344
92602368746
101034407140
11490994438
1224a5072b0
131363c6140
149b546764
1560c2b010
hex3da7cce4

1034407140 has 96 divisors (see below), whose sum is σ = 3191776896. Its totient is φ = 248693760.

The previous prime is 1034407111. The next prime is 1034407147. The reversal of 1034407140 is 417044301.

It is a self number, because there is not a number n which added to its sum of digits gives 1034407140.

It is not an unprimeable number, because it can be changed into a prime (1034407147) 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, 18120 + ... + 48960.

It is an arithmetic number, because the mean of its divisors is an integer number (33247676).

Almost surely, 21034407140 is an apocalyptic number.

1034407140 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 1034407140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595888448).

1034407140 is an abundant number, since it is smaller than the sum of its proper divisors (2157369756).

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

1034407140 is a wasteful number, since it uses less digits than its factorization.

1034407140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30909 (or 30907 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1034407140 is about 32162.2004844196. The cubic root of 1034407140 is about 1011.3399657563.

The spelling of 1034407140 in words is "one billion, thirty-four million, four hundred seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 172 195 215 258 260 390 430 516 559 645 780 860 1118 1290 1677 2236 2580 2795 3354 5590 6708 8385 11180 16770 30841 33540 61682 92523 123364 154205 185046 308410 370092 400933 462615 616820 801866 925230 1202799 1326163 1603732 1850460 2004665 2405598 2652326 3978489 4009330 4811196 5304652 6013995 6630815 7956978 8018660 12027990 13261630 15913956 17240119 19892445 24055980 26523260 34480238 39784890 51720357 68960476 79569780 86200595 103440714 172401190 206881428 258601785 344802380 517203570 1034407140