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2423380480 = 295532337
BaseRepresentation
bin1001000001110001…
…1101101000000000
320020220000111001121
42100130131220000
514430341133410
61040245242024
7114024252133
oct22034355000
96226014047
102423380480
111033a31694
12577703314
132c80b3961
1418dbc821a
15e2b439da
hex9071da00

2423380480 has 120 divisors (see below), whose sum is σ = 5939705772. Its totient is φ = 948240384.

The previous prime is 2423380469. The next prime is 2423380483. The reversal of 2423380480 is 840833242.

It can be written as a sum of positive squares in 6 ways, for example, as 1304076544 + 1119303936 = 36112^2 + 33456^2 .

It is not an unprimeable number, because it can be changed into a prime (2423380483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7190872 + ... + 7191208.

Almost surely, 22423380480 is an apocalyptic number.

2423380480 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 2423380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969852886).

2423380480 is an abundant number, since it is smaller than the sum of its proper divisors (3516325292).

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

2423380480 is an frugal number, since it uses more digits than its factorization.

2423380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 2423380480 is about 49227.8425283904. The cubic root of 2423380480 is about 1343.1995422555.

The spelling of 2423380480 in words is "two billion, four hundred twenty-three million, three hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 337 424 512 530 640 674 848 1060 1280 1348 1685 1696 2120 2560 2696 2809 3370 3392 4240 5392 5618 6740 6784 8480 10784 11236 13480 13568 14045 16960 17861 21568 22472 26960 27136 28090 33920 35722 43136 44944 53920 56180 67840 71444 86272 89305 89888 107840 112360 135680 142888 172544 178610 179776 215680 224720 285776 357220 359552 431360 449440 571552 714440 719104 862720 898880 946633 1143104 1428880 1438208 1797760 1893266 2286208 2857760 3595520 3786532 4572416 4733165 5715520 7191040 7573064 9144832 9466330 11431040 15146128 18932660 22862080 30292256 37865320 45724160 60584512 75730640 121169024 151461280 242338048 302922560 484676096 605845120 1211690240 2423380480