Search a number
-
+
4034312010 = 2325235573499
BaseRepresentation
bin1111000001110110…
…1011011101001010
3101102011021021200100
43300131223131022
531230240441020
61504153150230
7201655041411
oct36035533512
911364237610
104034312010
11179029a363
129470bb376
134c3a76291
142a3b26478
151892a1a90
hexf076b74a

4034312010 has 96 divisors (see below), whose sum is σ = 10968048000. Its totient is φ = 1026900864.

The previous prime is 4034311999. The next prime is 4034312017. The reversal of 4034312010 is 102134304.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4034312017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1151241 + ... + 1154739.

It is an arithmetic number, because the mean of its divisors is an integer number (114250500).

Almost surely, 24034312010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4034312010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484024000).

4034312010 is an abundant number, since it is smaller than the sum of its proper divisors (6933735990).

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

4034312010 is a wasteful number, since it uses less digits than its factorization.

4034312010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4034312010 is about 63516.2342240155. The cubic root of 4034312010 is about 1591.9270452688.

Adding to 4034312010 its reverse (102134304), we get a palindrome (4136446314).

The spelling of 4034312010 in words is "four billion, thirty-four million, three hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 557 690 1035 1114 1671 2070 2785 3342 3499 5013 5570 6998 8355 10026 10497 12811 16710 17495 20994 25065 25622 31491 34990 38433 50130 52485 62982 64055 76866 80477 104970 115299 128110 157455 160954 192165 230598 241431 314910 384330 402385 482862 576495 724293 804770 1152990 1207155 1448586 1948943 2414310 3621465 3897886 5846829 7242930 9744715 11693658 17540487 19489430 29234145 35080974 44825689 58468290 87702435 89651378 134477067 175404870 224128445 268954134 403431201 448256890 672385335 806862402 1344770670 2017156005 4034312010