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7343687680 = 21157102451
BaseRepresentation
bin1101101011011011…
…11100100000000000
3200221210102222122121
412311231330200000
5110014441001210
63212412414024
7346661213110
oct66555744000
920853388577
107343687680
11312935827a
12150b477314
1390058bc34
144d9463040
152ceaa76da
hex1b5b7c800

7343687680 has 96 divisors (see below), whose sum is σ = 20137965120. Its totient is φ = 2517811200.

The previous prime is 7343687627. The next prime is 7343687683. The reversal of 7343687680 is 867863437.

It is not an unprimeable number, because it can be changed into a prime (7343687683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20455 + ... + 122905.

It is an arithmetic number, because the mean of its divisors is an integer number (209770470).

Almost surely, 27343687680 is an apocalyptic number.

7343687680 is a gapful number since it is divisible by the number (70) 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 7343687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10068982560).

7343687680 is an abundant number, since it is smaller than the sum of its proper divisors (12794277440).

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

7343687680 is a wasteful number, since it uses less digits than its factorization.

7343687680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102485 (or 102465 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The square root of 7343687680 is about 85695.3188919908. The cubic root of 7343687680 is about 1943.7395260306.

The spelling of 7343687680 in words is "seven billion, three hundred forty-three million, six hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4480 5120 7168 8960 10240 14336 17920 35840 71680 102451 204902 409804 512255 717157 819608 1024510 1434314 1639216 2049020 2868628 3278432 3585785 4098040 5737256 6556864 7171570 8196080 11474512 13113728 14343140 16392160 22949024 26227456 28686280 32784320 45898048 52454912 57372560 65568640 91796096 104909824 114745120 131137280 183592192 209819648 229490240 262274560 367184384 458980480 524549120 734368768 917960960 1049098240 1468737536 1835921920 3671843840 7343687680