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3474395136 = 212323072
BaseRepresentation
bin1100111100010111…
…0001000000000000
322222010200120010100
43033011301000000
524103421121021
61332432202400
7152045604612
oct31705610000
98863616110
103474395136
111523229543
1280b699400
13434a73014
1424d614db2
15155050626
hexcf171000

3474395136 has 117 divisors (see below), whose sum is σ = 10068713031. Its totient is φ = 1154359296.

The previous prime is 3474395107. The next prime is 3474395137. The reversal of 3474395136 is 6315934743.

The square root of 3474395136 is 58944.

It is a perfect power (a square), and thus also a powerful number.

3474395136 is a `hidden beast` number, since 34 + 74 + 39 + 513 + 6 = 666.

It is a super-2 number, since 2×34743951362 = 24142843122120916992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3474395091 and 3474395100.

It is not an unprimeable number, because it can be changed into a prime (3474395137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11317095 + ... + 11317401.

Almost surely, 23474395136 is an apocalyptic number.

3474395136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3474395136 is the 58944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3474395136

3474395136 is an abundant number, since it is smaller than the sum of its proper divisors (6594317895).

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

3474395136 is an frugal number, since it uses more digits than its factorization.

3474395136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 312 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The cubic root of 3474395136 is about 1514.5829705345.

The spelling of 3474395136 in words is "three billion, four hundred seventy-four million, three hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 307 384 512 576 614 768 921 1024 1152 1228 1536 1842 2048 2304 2456 2763 3072 3684 4096 4608 4912 5526 6144 7368 9216 9824 11052 12288 14736 18432 19648 22104 29472 36864 39296 44208 58944 78592 88416 94249 117888 157184 176832 188498 235776 282747 314368 353664 376996 471552 565494 628736 707328 753992 848241 943104 1130988 1257472 1414656 1507984 1696482 1886208 2261976 2829312 3015968 3392964 3772416 4523952 5658624 6031936 6785928 9047904 11317248 12063872 13571856 18095808 24127744 27143712 36191616 48255488 54287424 72383232 96510976 108574848 144766464 193021952 217149696 289532928 386043904 434299392 579065856 868598784 1158131712 1737197568 3474395136