Search a number
-
+
2304735400 = 2352112131727
BaseRepresentation
bin1000100101011111…
…0111100010101000
312221121202200121101
42021113313202220
514210003013100
61020410251144
7111053633122
oct21127674250
95847680541
102304735400
11a82a65900
12543a26ab4
132a9642676
1417c142212
15d750986a
hex895f78a8

2304735400 has 144 divisors (see below), whose sum is σ = 5943057120. Its totient is φ = 830544000.

The previous prime is 2304735383. The next prime is 2304735413. The reversal of 2304735400 is 45374032.

2304735400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3169837 + ... + 3170563.

It is an arithmetic number, because the mean of its divisors is an integer number (41271230).

Almost surely, 22304735400 is an apocalyptic number.

2304735400 is a gapful number since it is divisible by the number (20) 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 2304735400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971528560).

2304735400 is an abundant number, since it is smaller than the sum of its proper divisors (3638321720).

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

2304735400 is a wasteful number, since it uses less digits than its factorization.

2304735400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 2304735400 is about 48007.6598054935. The cubic root of 2304735400 is about 1320.9114076014.

The spelling of 2304735400 in words is "two billion, three hundred four million, seven hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 131 200 220 242 262 275 440 484 524 550 605 655 727 968 1048 1100 1210 1310 1441 1454 2200 2420 2620 2882 2908 3025 3275 3635 4840 5240 5764 5816 6050 6550 7205 7270 7997 11528 12100 13100 14410 14540 15851 15994 18175 24200 26200 28820 29080 31702 31988 36025 36350 39985 57640 63404 63976 72050 72700 79255 79970 87967 95237 126808 144100 145400 158510 159940 175934 190474 199925 288200 317020 319880 351868 380948 396275 399850 439835 476185 634040 703736 761896 792550 799700 879670 952370 1047607 1585100 1599400 1759340 1904740 2095214 2199175 2380925 3170200 3518680 3809480 4190428 4398350 4761850 5238035 8380856 8796700 9523700 10476070 11523677 17593400 19047400 20952140 23047354 26190175 41904280 46094708 52380350 57618385 92189416 104760700 115236770 209521400 230473540 288091925 460947080 576183850 1152367700 2304735400