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3484949448 = 2331943223797
BaseRepresentation
bin1100111110111000…
…0001101111001000
322222212112202220210
43033232001233020
524114121340243
61333450321120
7152234403321
oct31756015710
98885482823
103484949448
111529188112
128131291a0
13436cc9c86
14250ba1448
15155e37933
hexcfb81bc8

3484949448 has 128 divisors (see below), whose sum is σ = 9438105600. Its totient is φ = 1068754176.

The previous prime is 3484949399. The next prime is 3484949449. The reversal of 3484949448 is 8449494843.

It is a happy number.

It is a super-3 number, since 3×34849494483 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (3484949449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4372186 + ... + 4372982.

It is an arithmetic number, because the mean of its divisors is an integer number (73735200).

Almost surely, 23484949448 is an apocalyptic number.

3484949448 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3484949448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719052800).

3484949448 is an abundant number, since it is smaller than the sum of its proper divisors (5953156152).

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

3484949448 is a wasteful number, since it uses less digits than its factorization.

3484949448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1087 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 57.

The square root of 3484949448 is about 59033.4604101775. The cubic root of 3484949448 is about 1516.1150570681.

The spelling of 3484949448 in words is "three billion, four hundred eighty-four million, nine hundred forty-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 114 129 152 172 223 228 258 344 446 456 516 669 797 817 892 1032 1338 1594 1634 1784 2391 2451 2676 3188 3268 4237 4782 4902 5352 6376 6536 8474 9564 9589 9804 12711 15143 16948 19128 19178 19608 25422 28767 30286 33896 34271 38356 45429 50844 57534 60572 68542 76712 90858 101688 102813 115068 121144 137084 177731 181716 182191 205626 230136 274168 355462 363432 364382 411252 533193 546573 651149 710924 728764 822504 1066386 1093146 1302298 1421848 1457528 1953447 2132772 2186292 2604596 3376889 3906894 4265544 4372584 5209192 6753778 7642433 7813788 10130667 13507556 15284866 15627576 20261334 22927299 27015112 30569732 40522668 45854598 61139464 81045336 91709196 145206227 183418392 290412454 435618681 580824908 871237362 1161649816 1742474724 3484949448