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3485313984 = 26397187141
BaseRepresentation
bin1100111110111101…
…1010101111000000
322222220020021222010
43033233122233000
524114220021414
61333502212520
7152240452155
oct31757325700
98886207863
103485313984
111529406a89
12813284140
134370c6b89
14250c5822c
15155eaa959
hexcfbdabc0

3485313984 has 56 divisors (see below), whose sum is σ = 9316677328. Its totient is φ = 1149788160.

The previous prime is 3485313983. The next prime is 3485314009. The reversal of 3485313984 is 4893135843.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3485313983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74947 + ... + 112194.

It is an arithmetic number, because the mean of its divisors is an integer number (166369238).

Almost surely, 23485313984 is an apocalyptic number.

It is an amenable number.

3485313984 is an abundant number, since it is smaller than the sum of its proper divisors (5831363344).

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

3485313984 is a wasteful number, since it uses less digits than its factorization.

3485313984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187253 (or 187243 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 3485313984 is about 59036.5478665547. The cubic root of 3485313984 is about 1516.1679185952.

The spelling of 3485313984 in words is "three billion, four hundred eighty-five million, three hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 776 1164 1552 2328 3104 4656 6208 9312 18624 187141 374282 561423 748564 1122846 1497128 2245692 2994256 4491384 5988512 8982768 11977024 17965536 18152677 35931072 36305354 54458031 72610708 108916062 145221416 217832124 290442832 435664248 580885664 871328496 1161771328 1742656992 3485313984