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3376005648 = 243316733863
BaseRepresentation
bin1100100100111001…
…1100001000010000
322201021112212010020
43021032130020100
523403224140043
61314555303440
7146442401031
oct31116341020
98637485106
103376005648
111482738014
127a274ab80
1341a5745a2
14240522a88
1514b5b7e83
hexc939c210

3376005648 has 80 divisors (see below), whose sum is σ = 9137319936. Its totient is φ = 1072748160.

The previous prime is 3376005643. The next prime is 3376005691. The reversal of 3376005648 is 8465006733.

It is a super-2 number, since 2×33760056482 = 22794828270655799808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3376005643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82765 + ... + 116627.

Almost surely, 23376005648 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 3376005648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568659968).

3376005648 is an abundant number, since it is smaller than the sum of its proper divisors (5761314288).

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

3376005648 is a wasteful number, since it uses less digits than its factorization.

3376005648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33972 (or 33966 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 3376005648 is about 58103.4047883599. The cubic root of 3376005648 is about 1500.1489700937.

The spelling of 3376005648 in words is "three billion, three hundred seventy-six million, five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 67 93 124 134 186 201 248 268 372 402 496 536 744 804 1072 1488 1608 2077 3216 4154 6231 8308 12462 16616 24924 33232 33863 49848 67726 99696 101589 135452 203178 270904 406356 541808 812712 1049753 1625424 2099506 2268821 3149259 4199012 4537642 6298518 6806463 8398024 9075284 12597036 13612926 16796048 18150568 25194072 27225852 36301136 50388144 54451704 70333451 108903408 140666902 211000353 281333804 422000706 562667608 844001412 1125335216 1688002824 3376005648