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3453329408 = 21317137181
BaseRepresentation
bin1100110111010101…
…1010000000000000
322220200001022101012
43031311122000000
524033023020113
61330400500052
7151401546524
oct31565320000
98820038335
103453329408
111512350551
1280461a628
134305a87a9
1424a8cdd84
1515328daa8
hexcdd5a000

3453329408 has 112 divisors (see below), whose sum is σ = 7406557704. Its totient is φ = 1604321280.

The previous prime is 3453329393. The next prime is 3453329431. The reversal of 3453329408 is 8049233543.

It can be written as a sum of positive squares in 4 ways, for example, as 2536935424 + 916393984 = 50368^2 + 30272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19079078 + ... + 19079258.

Almost surely, 23453329408 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 3453329408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703278852).

3453329408 is an abundant number, since it is smaller than the sum of its proper divisors (3953228296).

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

3453329408 is a wasteful number, since it uses less digits than its factorization.

3453329408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The square root of 3453329408 is about 58765.0355909022. The cubic root of 3453329408 is about 1511.5157225894.

The spelling of 3453329408 in words is "three billion, four hundred fifty-three million, three hundred twenty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 137 181 256 272 274 362 512 544 548 724 1024 1088 1096 1448 2048 2176 2192 2329 2896 3077 4096 4352 4384 4658 5792 6154 8192 8704 8768 9316 11584 12308 17408 17536 18632 23168 24616 24797 34816 35072 37264 46336 49232 49594 69632 70144 74528 92672 98464 99188 139264 140288 149056 185344 196928 198376 280576 298112 370688 393856 396752 421549 561152 596224 741376 787712 793504 843098 1122304 1192448 1482752 1575424 1587008 1686196 2384896 3150848 3174016 3372392 4769792 6301696 6348032 6744784 9539584 12603392 12696064 13489568 19079168 25206784 25392128 26979136 50784256 53958272 101568512 107916544 203137024 215833088 431666176 863332352 1726664704 3453329408