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3212380416 = 2837285363
BaseRepresentation
bin1011111101111001…
…0000100100000000
322021212122211111110
42333132100210000
523034332133131
61250432243320
7142414532400
oct27736204400
98255584443
103212380416
1113a9339a53
127579a0540
133c26b4a1b
142268cc800
1513c046646
hexbf790900

3212380416 has 108 divisors (see below), whose sum is σ = 9945588912. Its totient is φ = 917812224.

The previous prime is 3212380411. The next prime is 3212380417. The reversal of 3212380416 is 6140832123.

It is not an unprimeable number, because it can be changed into a prime (3212380411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5050 + ... + 80313.

Almost surely, 23212380416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3212380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972794456).

3212380416 is an abundant number, since it is smaller than the sum of its proper divisors (6733208496).

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

3212380416 is an equidigital number, since it uses as much as digits as its factorization.

3212380416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85396 (or 85375 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3212380416 is about 56677.8653091310. The cubic root of 3212380416 is about 1475.5105639954.

The spelling of 3212380416 in words is "three billion, two hundred twelve million, three hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1568 1792 2352 2688 3136 4704 5376 6272 9408 12544 18816 37632 85363 170726 256089 341452 512178 597541 682904 1024356 1195082 1365808 1792623 2048712 2390164 2731616 3585246 4097424 4182787 4780328 5463232 7170492 8194848 8365574 9560656 10926464 12548361 14340984 16389696 16731148 19121312 21852928 25096722 28681968 32779392 33462296 38242624 50193444 57363936 65558784 66924592 76485248 100386888 114727872 133849184 152970496 200773776 229455744 267698368 401547552 458911488 535396736 803095104 1070793472 1606190208 3212380416