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1930340256 = 253132935279
BaseRepresentation
bin111001100001110…
…1010011110100000
311222112021110000120
41303003222132200
512423131342011
6515313520240
765556423105
oct16303523640
94875243016
101930340256
11900699229
1245a573080
13249bc7690
14144524aac
15b4702a06
hex730ea7a0

1930340256 has 96 divisors (see below), whose sum is σ = 5476584960. Its totient is φ = 591811584.

The previous prime is 1930340249. The next prime is 1930340257. The reversal of 1930340256 is 6520430391.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1930340257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363025 + ... + 368303.

It is an arithmetic number, because the mean of its divisors is an integer number (57047760).

Almost surely, 21930340256 is an apocalyptic number.

1930340256 is a gapful number since it is divisible by the number (16) 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 1930340256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738292480).

1930340256 is an abundant number, since it is smaller than the sum of its proper divisors (3546244704).

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

1930340256 is a wasteful number, since it uses less digits than its factorization.

1930340256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 1930340256 is about 43935.6376532764. The cubic root of 1930340256 is about 1245.1202296755.

The spelling of 1930340256 in words is "one billion, nine hundred thirty million, three hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 293 312 416 586 624 879 1172 1248 1758 2344 3516 3809 4688 5279 7032 7618 9376 10558 11427 14064 15236 15837 21116 22854 28128 30472 31674 42232 45708 60944 63348 68627 84464 91416 121888 126696 137254 168928 182832 205881 253392 274508 365664 411762 506784 549016 823524 1098032 1546747 1647048 2196064 3093494 3294096 4640241 6186988 6588192 9280482 12373976 18560964 20107711 24747952 37121928 40215422 49495904 60323133 74243856 80430844 120646266 148487712 160861688 241292532 321723376 482585064 643446752 965170128 1930340256