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1834459968 = 263113128019
BaseRepresentation
bin110110101010111…
…1010001101000000
311201211212012222210
41231111322031000
512224110204333
6502010502120
763313436535
oct15525721500
94654765883
101834459968
11861560a20
12432434940
13233097093
141358c6d8c
15ab0b3a63
hex6d57a340

1834459968 has 112 divisors (see below), whose sum is σ = 5465917440. Its totient is φ = 537945600.

The previous prime is 1834459951. The next prime is 1834459969. The reversal of 1834459968 is 8699544381.

It is a super-2 number, since 2×18344599682 = 6730486748389122048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1834459969) 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, 51463 + ... + 79481.

Almost surely, 21834459968 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 1834459968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732958720).

1834459968 is an abundant number, since it is smaller than the sum of its proper divisors (3631457472).

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

1834459968 is a wasteful number, since it uses less digits than its factorization.

1834459968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28076 (or 28066 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

The square root of 1834459968 is about 42830.5961667591. The cubic root of 1834459968 is about 1224.1540666419.

The spelling of 1834459968 in words is "one billion, eight hundred thirty-four million, four hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 132 176 186 192 248 264 341 352 372 496 528 682 704 744 992 1023 1056 1364 1488 1984 2046 2112 2728 2976 4092 5456 5952 8184 10912 16368 21824 28019 32736 56038 65472 84057 112076 168114 224152 308209 336228 448304 616418 672456 868589 896608 924627 1232836 1344912 1737178 1793216 1849254 2465672 2605767 2689824 3474356 3698508 4931344 5211534 5379648 6948712 7397016 9554479 9862688 10423068 13897424 14794032 19108958 19725376 20846136 27794848 28663437 29588064 38217916 41692272 55589696 57326874 59176128 76435832 83384544 114653748 152871664 166769088 229307496 305743328 458614992 611486656 917229984 1834459968