Search a number
-
+
3376914048 = 273229101081
BaseRepresentation
bin1100100101000111…
…1001111010000000
322201100021000012200
43021101321322000
523403442222143
61315030553200
7146453203314
oct31121717200
98640230180
103376914048
1114831a8562
127a2b08800
1341a801bc1
142406bbb44
1514b6e71d3
hexc9479e80

3376914048 has 96 divisors (see below), whose sum is σ = 10052604900. Its totient is φ = 1086812160.

The previous prime is 3376913989. The next prime is 3376914083. The reversal of 3376914048 is 8404196733.

It can be written as a sum of positive squares in 2 ways, for example, as 3092249664 + 284664384 = 55608^2 + 16872^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33769140482 = 22807096975159492608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3376913994 and 3376914012.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17133 + ... + 83948.

Almost surely, 23376914048 is an apocalyptic number.

It is an amenable number.

3376914048 is an abundant number, since it is smaller than the sum of its proper divisors (6675690852).

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

3376914048 is a wasteful number, since it uses less digits than its factorization.

3376914048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101130 (or 101115 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3376914048 is about 58111.2213604223. The cubic root of 3376914048 is about 1500.2835090784.

The spelling of 3376914048 in words is "three billion, three hundred seventy-six million, nine hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 5568 8352 11136 16704 33408 101081 202162 303243 404324 606486 808648 909729 1212972 1617296 1819458 2425944 2931349 3234592 3638916 4851888 5862698 6469184 7277832 8794047 9703776 11725396 12938368 14555664 17588094 19407552 23450792 26382141 29111328 35176188 38815104 46901584 52764282 58222656 70352376 93803168 105528564 116445312 140704752 187606336 211057128 281409504 375212672 422114256 562819008 844228512 1125638016 1688457024 3376914048