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3441220100 = 2252312115261
BaseRepresentation
bin1100110100011100…
…1101101000000100
322212211021002112022
43031013031220010
524021423020400
61325245142312
7151163613443
oct31507155004
98784232468
103441220100
11150652a65a
1280055a998
1342ac28b16
1424905ad5a
1515219ab85
hexcd1cda04

3441220100 has 72 divisors (see below), whose sum is σ = 7746337536. Its totient is φ = 1325520000.

The previous prime is 3441220063. The next prime is 3441220117. The reversal of 3441220100 is 10221443.

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, 651470 + ... + 656730.

Almost surely, 23441220100 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 3441220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873168768).

3441220100 is an abundant number, since it is smaller than the sum of its proper divisors (4305117436).

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

3441220100 is a wasteful number, since it uses less digits than its factorization.

3441220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5517 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3441220100 is about 58661.9135385132. The cubic root of 3441220100 is about 1509.7469131261.

Adding to 3441220100 its reverse (10221443), we get a palindrome (3451441543).

The spelling of 3441220100 in words is "three billion, four hundred forty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 211 310 422 620 775 844 1055 1550 2110 3100 4220 5261 5275 6541 10522 10550 13082 21044 21100 26164 26305 32705 52610 65410 105220 130820 131525 163091 163525 263050 326182 327050 526100 652364 654100 815455 1110071 1630910 2220142 3261820 4077275 4440284 5550355 8154550 11100710 16309100 22201420 27751775 34412201 55503550 68824402 111007100 137648804 172061005 344122010 688244020 860305025 1720610050 3441220100