Search a number
-
+
4340951040 = 21135141307
BaseRepresentation
bin1000000101011110…
…11010100000000000
3102012112021011100110
410002233122200000
532342240413130
61554425351320
7212400321636
oct40257324000
912175234313
104340951040
111928398848
12a11938540
13542459baa
142d2747356
151a6172ab0
hex102bda800

4340951040 has 96 divisors (see below), whose sum is σ = 13887750240. Its totient is φ = 1157578752.

The previous prime is 4340951029. The next prime is 4340951047. The reversal of 4340951040 is 401590434.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4340950989 and 4340951007.

It is not an unprimeable number, because it can be changed into a prime (4340951047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39934 + ... + 101373.

It is an arithmetic number, because the mean of its divisors is an integer number (144664065).

Almost surely, 24340951040 is an apocalyptic number.

4340951040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4340951040 is an abundant number, since it is smaller than the sum of its proper divisors (9546799200).

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

4340951040 is a wasteful number, since it uses less digits than its factorization.

4340951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141337 (or 141317 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4340951040 is about 65885.8940897063. The cubic root of 4340951040 is about 1631.2791895659.

It can be divided in two parts, 43409 and 51040, that added together give a palindrome (94449).

The spelling of 4340951040 in words is "four billion, three hundred forty million, nine hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 141307 282614 423921 565228 706535 847842 1130456 1413070 1695684 2119605 2260912 2826140 3391368 4239210 4521824 5652280 6782736 8478420 9043648 11304560 13565472 16956840 18087296 22609120 27130944 33913680 36174592 45218240 54261888 67827360 72349184 90436480 108523776 135654720 144698368 180872960 217047552 271309440 289396736 361745920 434095104 542618880 723491840 868190208 1085237760 1446983680 2170475520 4340951040