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1934968392 = 233372944129
BaseRepresentation
bin111001101010101…
…0100011001001000
311222211222120122000
41303111110121020
512430322442032
6520001031000
765643650160
oct16325243110
94884876560
101934968392
1190326a435
12460025460
1324ab58116
14144dab5a0
15b4d18e7c
hex73554648

1934968392 has 128 divisors (see below), whose sum is σ = 6354720000. Its totient is φ = 533772288.

The previous prime is 1934968349. The next prime is 1934968393. The reversal of 1934968392 is 2938694391.

1934968392 is a `hidden beast` number, since 193 + 4 + 9 + 68 + 392 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1934968393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21784 + ... + 65912.

It is an arithmetic number, because the mean of its divisors is an integer number (49646250).

Almost surely, 21934968392 is an apocalyptic number.

1934968392 is a gapful number since it is divisible by the number (12) 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 1934968392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177360000).

1934968392 is an abundant number, since it is smaller than the sum of its proper divisors (4419751608).

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

1934968392 is a wasteful number, since it uses less digits than its factorization.

1934968392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44180 (or 44170 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 1934968392 is about 43988.2756197603. The cubic root of 1934968392 is about 1246.1145252761.

The spelling of 1934968392 in words is "one billion, nine hundred thirty-four million, nine hundred sixty-eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 84 87 108 116 126 168 174 189 203 216 232 252 261 348 378 406 504 522 609 696 756 783 812 1044 1218 1512 1566 1624 1827 2088 2436 3132 3654 4872 5481 6264 7308 10962 14616 21924 43848 44129 88258 132387 176516 264774 308903 353032 397161 529548 617806 794322 926709 1059096 1191483 1235612 1279741 1588644 1853418 2382966 2471224 2559482 2780127 3177288 3706836 3839223 4765932 5118964 5560254 7413672 7678446 8340381 8958187 9531864 10237928 11120508 11517669 15356892 16680762 17916374 22241016 23035338 26874561 30713784 33361524 34553007 35832748 46070676 53749122 66723048 69106014 71665496 80623683 92141352 107498244 138212028 161247366 214996488 241871049 276424056 322494732 483742098 644989464 967484196 1934968392