Search a number
-
+
2402353040 = 245292833659
BaseRepresentation
bin1000111100110000…
…1111111110010000
320012102110011211112
42033030033332100
514410000244130
61034214432452
7113350443503
oct21714177620
96172404745
102402353040
11102307a43a
12570662728
132c3930999
1418b0b313a
15e0d8d495
hex8f30ff90

2402353040 has 80 divisors (see below), whose sum is σ = 5800075200. Its totient is φ = 924274176.

The previous prime is 2402353039. The next prime is 2402353043. The reversal of 2402353040 is 403532042.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2402352997 and 2402353015.

It is not an unprimeable number, because it can be changed into a prime (2402353043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654731 + ... + 658389.

It is an arithmetic number, because the mean of its divisors is an integer number (72500940).

Almost surely, 22402353040 is an apocalyptic number.

2402353040 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 2402353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900037600).

2402353040 is an abundant number, since it is smaller than the sum of its proper divisors (3397722160).

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

2402353040 is a wasteful number, since it uses less digits than its factorization.

2402353040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 2402353040 is about 49013.8045860551. The cubic root of 2402353040 is about 1339.3033134964.

Adding to 2402353040 its reverse (403532042), we get a palindrome (2805885082).

The spelling of 2402353040 in words is "two billion, four hundred two million, three hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 283 290 464 566 580 1132 1160 1415 2264 2320 2830 3659 4528 5660 7318 8207 11320 14636 16414 18295 22640 29272 32828 36590 41035 58544 65656 73180 82070 106111 131312 146360 164140 212222 292720 328280 424444 530555 656560 848888 1035497 1061110 1697776 2070994 2122220 4141988 4244440 5177485 8283976 8488880 10354970 16567952 20709940 30029413 41419880 60058826 82839760 120117652 150147065 240235304 300294130 480470608 600588260 1201176520 2402353040