Search a number
-
+
1034301400 = 2352112292053
BaseRepresentation
bin111101101001100…
…010111111011000
32200002012221210021
4331221202333120
54104240121100
6250344400224
734426262656
oct7551427730
92602187707
101034301400
11490921a50
1224a476074
13136389c82
149b519dd6
1560c09a1a
hex3da62fd8

1034301400 has 96 divisors (see below), whose sum is σ = 2636103600. Its totient is φ = 374284800.

The previous prime is 1034301379. The next prime is 1034301409. The reversal of 1034301400 is 41034301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034301409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502774 + ... + 504826.

Almost surely, 21034301400 is an apocalyptic number.

1034301400 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 1034301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318051800).

1034301400 is an abundant number, since it is smaller than the sum of its proper divisors (1601802200).

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

1034301400 is a wasteful number, since it uses less digits than its factorization.

1034301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1034301400 is about 32160.5565872234. The cubic root of 1034301400 is about 1011.3055039125.

Adding to 1034301400 its reverse (41034301), we get a palindrome (1075335701).

The spelling of 1034301400 in words is "one billion, thirty-four million, three hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 229 275 440 458 550 916 1100 1145 1832 2053 2200 2290 2519 4106 4580 5038 5725 8212 9160 10076 10265 11450 12595 16424 20152 20530 22583 22900 25190 41060 45166 45800 50380 51325 62975 82120 90332 100760 102650 112915 125950 180664 205300 225830 251900 410600 451660 470137 503800 564575 903320 940274 1129150 1880548 2258300 2350685 3761096 4516600 4701370 5171507 9402740 10343014 11753425 18805480 20686028 23506850 25857535 41372056 47013700 51715070 94027400 103430140 129287675 206860280 258575350 517150700 1034301400