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3427601496 = 23311232712083
BaseRepresentation
bin1100110001001101…
…0000110001011000
322211212122012022120
43030103100301120
524004431221441
61324041221240
7150640063164
oct31423206130
98755565276
103427601496
1114a9878810
127b7a91820
1342816b187
14247313ca4
15150daa966
hexcc4d0c58

3427601496 has 128 divisors (see below), whose sum is σ = 9795133440. Its totient is φ = 989366400.

The previous prime is 3427601483. The next prime is 3427601537. The reversal of 3427601496 is 6941067243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1644471 + ... + 1646553.

It is an arithmetic number, because the mean of its divisors is an integer number (76524480).

Almost surely, 23427601496 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 3427601496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897566720).

3427601496 is an abundant number, since it is smaller than the sum of its proper divisors (6367531944).

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

3427601496 is a wasteful number, since it uses less digits than its factorization.

3427601496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 3427601496 is about 58545.7214149762. The cubic root of 3427601496 is about 1507.7526758680.

The spelling of 3427601496 in words is "three billion, four hundred twenty-seven million, six hundred one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 271 276 506 542 552 759 813 1012 1084 1518 1626 2024 2083 2168 2981 3036 3252 4166 5962 6072 6233 6249 6504 8332 8943 11924 12466 12498 16664 17886 18699 22913 23848 24932 24996 35772 37398 45826 47909 49864 49992 68563 68739 71544 74796 91652 95818 137126 137478 143727 149592 183304 191636 205689 274252 274956 287454 383272 411378 526999 548504 549912 564493 574908 822756 1053998 1128986 1149816 1580997 1645512 1693479 2107996 2257972 3161994 3386958 4215992 4515944 6209423 6323988 6773916 12418846 12647976 12983339 13547832 18628269 24837692 25966678 37256538 38950017 49675384 51933356 74513076 77900034 103866712 142816729 149026152 155800068 285633458 311600136 428450187 571266916 856900374 1142533832 1713800748 3427601496