Search a number
-
+
3214441100 = 2252134315737
BaseRepresentation
bin1011111110011000…
…0111101010001100
322022000112112020002
42333212013222030
523040344103400
61250544343432
7142441204253
oct27746075214
98260475202
103214441100
1113aa5171a2
12758614b78
133c2c56970
14226ca779a
1513c301ed5
hexbf987a8c

3214441100 has 72 divisors (see below), whose sum is σ = 7530643008. Its totient is φ = 1183910400.

The previous prime is 3214441051. The next prime is 3214441159. The reversal of 3214441100 is 11444123.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 557432 + ... + 563168.

It is an arithmetic number, because the mean of its divisors is an integer number (104592264).

Almost surely, 23214441100 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 3214441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765321504).

3214441100 is an abundant number, since it is smaller than the sum of its proper divisors (4316201908).

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

3214441100 is a wasteful number, since it uses less digits than its factorization.

3214441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6195 (or 6188 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3214441100 is about 56696.0413080137. The cubic root of 3214441100 is about 1475.8260010124.

Adding to 3214441100 its reverse (11444123), we get a palindrome (3225885223).

The spelling of 3214441100 in words is "three billion, two hundred fourteen million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 431 650 862 1300 1724 2155 4310 5603 5737 8620 10775 11206 11474 21550 22412 22948 28015 28685 43100 56030 57370 74581 112060 114740 140075 143425 149162 280150 286850 298324 372905 560300 573700 745810 1491620 1864525 2472647 3729050 4945294 7458100 9890588 12363235 24726470 32144411 49452940 61816175 64288822 123632350 128577644 160722055 247264700 321444110 642888220 803610275 1607220550 3214441100