Search a number
-
+
3439248240 = 2435172393527
BaseRepresentation
bin1100110011111110…
…1100001101110000
322212200112220122110
43030333230031300
524020421420430
61325135005320
7151141061541
oct31477541560
98780486573
103439248240
11150540311a
127bb969840
1342a6b843c
14248aa64c8
15151e0b7b0
hexccfec370

3439248240 has 160 divisors (see below), whose sum is σ = 11339274240. Its totient is φ = 859328512.

The previous prime is 3439248233. The next prime is 3439248277. The reversal of 3439248240 is 428429343.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 973357 + ... + 976883.

It is an arithmetic number, because the mean of its divisors is an integer number (70870464).

Almost surely, 23439248240 is an apocalyptic number.

3439248240 is a gapful number since it is divisible by the number (30) 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 3439248240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669637120).

3439248240 is an abundant number, since it is smaller than the sum of its proper divisors (7900026000).

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

3439248240 is a wasteful number, since it uses less digits than its factorization.

3439248240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 3439248240 is about 58645.1041434833. The cubic root of 3439248240 is about 1509.4584903900.

The spelling of 3439248240 in words is "three billion, four hundred thirty-nine million, two hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 239 240 255 272 340 408 478 510 680 717 816 956 1020 1195 1360 1434 1912 2040 2390 2868 3527 3585 3824 4063 4080 4780 5736 7054 7170 8126 9560 10581 11472 12189 14108 14340 16252 17635 19120 20315 21162 24378 28216 28680 32504 35270 40630 42324 48756 52905 56432 57360 59959 60945 65008 70540 81260 84648 97512 105810 119918 121890 141080 162520 169296 179877 195024 211620 239836 243780 282160 299795 325040 359754 423240 479672 487560 599590 719508 842953 846480 899385 959344 975120 1199180 1439016 1685906 1798770 2398360 2528859 2878032 3371812 3597540 4214765 4796720 5057718 6743624 7195080 8429530 10115436 12644295 13487248 14330201 14390160 16859060 20230872 25288590 28660402 33718120 40461744 42990603 50577180 57320804 67436240 71651005 85981206 101154360 114641608 143302010 171962412 202308720 214953015 229283216 286604020 343924824 429906030 573208040 687849648 859812060 1146416080 1719624120 3439248240