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1930344 = 2331323269
BaseRepresentation
bin111010111010001101000
310122001221020
413113101220
5443232334
6105212440
722256553
oct7272150
93561836
101930344
1110a9329
12791120
13527820
1438369a
15281e49
hex1d7468

1930344 has 64 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 566016.

The previous prime is 1930309. The next prime is 1930349. The reversal of 1930344 is 4430391.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1930349) 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 15 ways as a sum of consecutive naturals, for example, 7042 + ... + 7310.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

21930344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1930344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

1930344 is an abundant number, since it is smaller than the sum of its proper divisors (3512856).

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

1930344 is a wasteful number, since it uses less digits than its factorization.

1930344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1930344 is about 1389.3682017378. The cubic root of 1930344 is about 124.5121034668.

The spelling of 1930344 in words is "one million, nine hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 269 276 299 312 538 552 598 807 897 1076 1196 1614 1794 2152 2392 3228 3497 3588 6187 6456 6994 7176 10491 12374 13988 18561 20982 24748 27976 37122 41964 49496 74244 80431 83928 148488 160862 241293 321724 482586 643448 965172 1930344