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1234668480 = 26355572309
BaseRepresentation
bin100100110010111…
…1000101111000000
310012001020122202020
41021211320233000
510012033342410
6322303121440
742411336363
oct11145705700
93161218666
101234668480
11583a35781
122a55a3280
13168a42386
14b9d960da
15735d7a70
hex49978bc0

1234668480 has 112 divisors (see below), whose sum is σ = 3928811040. Its totient is φ = 328511488.

The previous prime is 1234668467. The next prime is 1234668493. The reversal of 1234668480 is 848664321.

It is an interprime number because it is at equal distance from previous prime (1234668467) and next prime (1234668493).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533566 + ... + 535874.

It is an arithmetic number, because the mean of its divisors is an integer number (35078670).

Almost surely, 21234668480 is an apocalyptic number.

1234668480 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 1234668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964405520).

1234668480 is an abundant number, since it is smaller than the sum of its proper divisors (2694142560).

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

1234668480 is a wasteful number, since it uses less digits than its factorization.

1234668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 1234668480 is about 35137.8496780893. The cubic root of 1234668480 is about 1072.7951144232.

The spelling of 1234668480 in words is "one billion, two hundred thirty-four million, six hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 557 960 1114 1671 2228 2309 2785 3342 4456 4618 5570 6684 6927 8355 8912 9236 11140 11545 13368 13854 16710 17824 18472 22280 23090 26736 27708 33420 34635 35648 36944 44560 46180 53472 55416 66840 69270 73888 89120 92360 106944 110832 133680 138540 147776 178240 184720 221664 267360 277080 369440 443328 534720 554160 738880 1108320 1286113 2216640 2572226 3858339 5144452 6430565 7716678 10288904 12861130 15433356 19291695 20577808 25722260 30866712 38583390 41155616 51444520 61733424 77166780 82311232 102889040 123466848 154333560 205778080 246933696 308667120 411556160 617334240 1234668480