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1134243840 = 2123518461
BaseRepresentation
bin100001110011011…
…0011000000000000
32221001021120001010
41003212303000000
54310331300330
6304314440520
740051625232
oct10346630000
92831246033
101134243840
11532284204
12277a33140
13150cb0502
14aa8d4252
156989c3b0
hex439b3000

1134243840 has 104 divisors (see below), whose sum is σ = 3629333808. Its totient is φ = 302448640.

The previous prime is 1134243797. The next prime is 1134243883. The reversal of 1134243840 is 483424311.

It is an interprime number because it is at equal distance from previous prime (1134243797) and next prime (1134243883).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1134243798 and 1134243807.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52210 + ... + 70670.

Almost surely, 21134243840 is an apocalyptic number.

1134243840 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 1134243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814666904).

1134243840 is an abundant number, since it is smaller than the sum of its proper divisors (2495089968).

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

1134243840 is an equidigital number, since it uses as much as digits as its factorization.

1134243840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18493 (or 18471 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1134243840 is about 33678.5367853177. The cubic root of 1134243840 is about 1042.8827318780.

The spelling of 1134243840 in words is "one billion, one hundred thirty-four million, two hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 10240 12288 15360 18461 20480 30720 36922 55383 61440 73844 92305 110766 147688 184610 221532 276915 295376 369220 443064 553830 590752 738440 886128 1107660 1181504 1476880 1772256 2215320 2363008 2953760 3544512 4430640 4726016 5907520 7089024 8861280 9452032 11815040 14178048 17722560 18904064 23630080 28356096 35445120 37808128 47260160 56712192 70890240 75616256 94520320 113424384 141780480 189040640 226848768 283560960 378081280 567121920 1134243840