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1942324400 = 245219213451
BaseRepresentation
bin111001111000101…
…1000010010110000
312000100211022011202
41303301120102300
512434213340100
6520422430332
766063325232
oct16361302260
95010738152
101942324400
11907434085
124625923a8
1324c5323a3
14145d64252
15b57bd7d5
hex73c584b0

1942324400 has 90 divisors (see below), whose sum is σ = 4925328732. Its totient is φ = 735984000.

The previous prime is 1942324399. The next prime is 1942324459. The reversal of 1942324400 is 44232491.

It is a super-4 number, since 4×19423244004 (a number of 38 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 137675 + ... + 151125.

Almost surely, 21942324400 is an apocalyptic number.

1942324400 is a gapful number since it is divisible by the number (10) 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 1942324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462664366).

1942324400 is an abundant number, since it is smaller than the sum of its proper divisors (2983004332).

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

1942324400 is a wasteful number, since it uses less digits than its factorization.

1942324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13507 (or 13477 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 1942324400 is about 44071.8095839052. The cubic root of 1942324400 is about 1247.6916116989.

Adding to 1942324400 its reverse (44232491), we get a palindrome (1986556891).

The spelling of 1942324400 in words is "one billion, nine hundred forty-two million, three hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 361 380 400 475 722 760 950 1444 1520 1805 1900 2888 3610 3800 5776 7220 7600 9025 13451 14440 18050 26902 28880 36100 53804 67255 72200 107608 134510 144400 215216 255569 269020 336275 511138 538040 672550 1022276 1076080 1277845 1345100 2044552 2555690 2690200 4089104 4855811 5111380 5380400 6389225 9711622 10222760 12778450 19423244 20445520 24279055 25556900 38846488 48558110 51113800 77692976 97116220 102227600 121395275 194232440 242790550 388464880 485581100 971162200 1942324400