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4312042400 = 255219283687
BaseRepresentation
bin1000000010000010…
…01000101110100000
3102010111212110011002
410001001020232200
532312340324100
61551514011132
7211566520121
oct40101105640
912114773132
104312042400
111913043306
12a04116aa8
135394778a3
142cc980048
151a38622d5
hex101048ba0

4312042400 has 72 divisors (see below), whose sum is σ = 11080853280. Its totient is φ = 1634031360.

The previous prime is 4312042391. The next prime is 4312042439. The reversal of 4312042400 is 42402134.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126644 + ... + 157043.

It is an arithmetic number, because the mean of its divisors is an integer number (153900740).

Almost surely, 24312042400 is an apocalyptic number.

4312042400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4312042400 is an abundant number, since it is smaller than the sum of its proper divisors (6768810880).

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

4312042400 is a wasteful number, since it uses less digits than its factorization.

4312042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283726 (or 283713 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4312042400 is about 65666.1434835334. The cubic root of 4312042400 is about 1627.6499437516.

Adding to 4312042400 its reverse (42402134), we get a palindrome (4354444534).

The spelling of 4312042400 in words is "four billion, three hundred twelve million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 380 400 475 608 760 800 950 1520 1900 3040 3800 7600 15200 283687 567374 1134748 1418435 2269496 2836870 4538992 5390053 5673740 7092175 9077984 10780106 11347480 14184350 21560212 22694960 26950265 28368700 43120424 45389920 53900530 56737400 86240848 107801060 113474800 134751325 172481696 215602120 226949600 269502650 431204240 539005300 862408480 1078010600 2156021200 4312042400