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1234330240 = 275111313487
BaseRepresentation
bin100100110010010…
…0110001010000000
310012000121110202211
41021210212022000
510011442031430
6322251551504
742405430303
oct11144461200
93160543684
101234330240
11583824640
122a545b594
13168954430
14b9d08b3a
157356c72a
hex49926280

1234330240 has 128 divisors (see below), whose sum is σ = 3466955520. Its totient is φ = 414289920.

The previous prime is 1234330187. The next prime is 1234330241. The reversal of 1234330240 is 420334321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12343302402 = 3047142282756915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1234330241) 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, 84777 + ... + 98263.

It is an arithmetic number, because the mean of its divisors is an integer number (27085590).

Almost surely, 21234330240 is an apocalyptic number.

1234330240 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 1234330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733477760).

1234330240 is an abundant number, since it is smaller than the sum of its proper divisors (2232625280).

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

1234330240 is a wasteful number, since it uses less digits than its factorization.

1234330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13530 (or 13518 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 1234330240 is about 35133.0363048798. The cubic root of 1234330240 is about 1072.6971406577.

Adding to 1234330240 its reverse (420334321), we get a palindrome (1654664561).

The spelling of 1234330240 in words is "one billion, two hundred thirty-four million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 260 286 320 352 416 440 520 572 640 704 715 832 880 1040 1144 1408 1430 1664 1760 2080 2288 2860 3520 4160 4576 5720 7040 8320 9152 11440 13487 18304 22880 26974 45760 53948 67435 91520 107896 134870 148357 175331 215792 269740 296714 350662 431584 539480 593428 701324 741785 863168 876655 1078960 1186856 1402648 1483570 1726336 1753310 1928641 2157920 2373712 2805296 2967140 3506620 3857282 4315840 4747424 5610592 5934280 7013240 7714564 8631680 9494848 9643205 11221184 11868560 14026480 15429128 18989696 19286410 22442368 23737120 28052960 30858256 38572820 47474240 56105920 61716512 77145640 94948480 112211840 123433024 154291280 246866048 308582560 617165120 1234330240