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3514307048 = 237217267463
BaseRepresentation
bin1101000101111000…
…0001000111101000
3100001220210021222022
43101132001013220
524144130311143
61340415444012
7153042055100
oct32136010750
910056707868
103514307048
11154380999a
12820b26608
13440108735
14254a44200
151587d6268
hexd17811e8

3514307048 has 144 divisors (see below), whose sum is σ = 8281926720. Its totient is φ = 1393362432.

The previous prime is 3514307023. The next prime is 3514307113. The reversal of 3514307048 is 8407034153.

It is a junction number, because it is equal to n+sod(n) for n = 3514306999 and 3514307017.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7590065 + ... + 7590527.

It is an arithmetic number, because the mean of its divisors is an integer number (57513380).

Almost surely, 23514307048 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 3514307048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140963360).

3514307048 is an abundant number, since it is smaller than the sum of its proper divisors (4767619672).

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

3514307048 is a wasteful number, since it uses less digits than its factorization.

3514307048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 3514307048 is about 59281.5911392398. The cubic root of 3514307048 is about 1520.3604650637.

The spelling of 3514307048 in words is "three billion, five hundred fourteen million, three hundred seven thousand, forty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 67 68 98 119 134 136 196 238 268 289 392 463 469 476 536 578 833 926 938 952 1139 1156 1666 1852 1876 2023 2278 2312 3241 3283 3332 3704 3752 4046 4556 6482 6566 6664 7871 7973 8092 9112 12964 13132 14161 15742 15946 16184 19363 22687 25928 26264 28322 31021 31484 31892 38726 45374 55097 55811 56644 62042 62968 63784 77452 90748 110194 111622 113288 124084 133807 135541 154904 181496 217147 220388 223244 248168 267614 271082 385679 434294 440776 446488 527357 535228 542164 771358 868588 936649 948787 1054714 1070456 1084328 1520029 1542716 1737176 1873298 1897574 2109428 3040058 3085432 3691499 3746596 3795148 4218856 6080116 6556543 7382998 7493192 7590296 8965069 12160232 13113086 14765996 17930138 25840493 26226172 29531992 35860276 51680986 52452344 62755483 71720552 103361972 125510966 206723944 251021932 439288381 502043864 878576762 1757153524 3514307048