Search a number
-
+
3341440400 = 245231377283
BaseRepresentation
bin1100011100101010…
…0101010110010000
322121212111202111212
43013022211112100
523320402043100
61311322355252
7145542526514
oct30712452620
98555452455
103341440400
1114651796a1
1279305bb28
1341336168c
14239ac6144
1514853b635
hexc72a5590

3341440400 has 120 divisors (see below), whose sum is σ = 8511907584. Its totient is φ = 1258329600.

The previous prime is 3341440393. The next prime is 3341440433. The reversal of 3341440400 is 40441433.

It is a super-2 number, since 2×33414404002 = 22330447893504320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455159 + ... + 462441.

Almost surely, 23341440400 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 3341440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255953792).

3341440400 is an abundant number, since it is smaller than the sum of its proper divisors (5170467184).

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

3341440400 is a wasteful number, since it uses less digits than its factorization.

3341440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7369 (or 7358 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3341440400 is about 57805.1935382972. The cubic root of 3341440400 is about 1495.0116366174.

Adding to 3341440400 its reverse (40441433), we get a palindrome (3381881833).

The spelling of 3341440400 in words is "three billion, three hundred forty-one million, four hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 37 40 50 62 74 80 100 124 148 155 185 200 248 296 310 370 400 496 592 620 740 775 925 1147 1240 1480 1550 1850 2294 2480 2960 3100 3700 4588 5735 6200 7283 7400 9176 11470 12400 14566 14800 18352 22940 28675 29132 36415 45880 57350 58264 72830 91760 114700 116528 145660 182075 225773 229400 269471 291320 364150 451546 458800 538942 582640 728300 903092 1077884 1128865 1347355 1456600 1806184 2155768 2257730 2694710 2913200 3612368 4311536 4515460 5389420 5644325 6736775 8353601 9030920 10778840 11288650 13473550 16707202 18061840 21557680 22577300 26947100 33414404 41768005 45154600 53894200 66828808 83536010 90309200 107788400 133657616 167072020 208840025 334144040 417680050 668288080 835360100 1670720200 3341440400