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2304423120 = 2435731031277
BaseRepresentation
bin1000100101011010…
…1011010011010000
312221121011211020110
42021112223103100
514204413014440
61020355441320
7111051162516
oct21126532320
95847154213
102304423120
11a8287221a
125438b6240
132a956349c
1417c0a04b6
15d7497080
hex895ab4d0

2304423120 has 160 divisors (see below), whose sum is σ = 7317603072. Its totient is φ = 599740416.

The previous prime is 2304423119. The next prime is 2304423133. The reversal of 2304423120 is 213244032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1803922 + ... + 1805198.

Almost surely, 22304423120 is an apocalyptic number.

2304423120 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 2304423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658801536).

2304423120 is an abundant number, since it is smaller than the sum of its proper divisors (5013179952).

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

2304423120 is a wasteful number, since it uses less digits than its factorization.

2304423120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2304423120 is about 48004.4072976638. The cubic root of 2304423120 is about 1320.8517459665.

Adding to 2304423120 its reverse (213244032), we get a palindrome (2517667152).

It can be divided in two parts, 23044 and 23120, that added together give a palindrome (46164).

The spelling of 2304423120 in words is "two billion, three hundred four million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 103 120 146 206 219 240 292 309 365 412 438 515 584 618 730 824 876 1030 1095 1168 1236 1277 1460 1545 1648 1752 2060 2190 2472 2554 2920 3090 3504 3831 4120 4380 4944 5108 5840 6180 6385 7519 7662 8240 8760 10216 12360 12770 15038 15324 17520 19155 20432 22557 24720 25540 30076 30648 37595 38310 45114 51080 60152 61296 75190 76620 90228 93221 102160 112785 120304 131531 150380 153240 180456 186442 225570 263062 279663 300760 306480 360912 372884 394593 451140 466105 526124 559326 601520 657655 745768 789186 902280 932210 1052248 1118652 1315310 1398315 1491536 1578372 1804560 1864420 1972965 2104496 2237304 2630620 2796630 3156744 3728840 3945930 4474608 5261240 5593260 6313488 7457680 7891860 9601763 10522480 11186520 15783720 19203526 22373040 28805289 31567440 38407052 48008815 57610578 76814104 96017630 115221156 144026445 153628208 192035260 230442312 288052890 384070520 460884624 576105780 768141040 1152211560 2304423120