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3349148220 = 223251123251293
BaseRepresentation
bin1100011110011111…
…1111001000111100
322122102000100122200
43013213333020330
523324340220340
61312155511500
7145665201345
oct30747771074
98572010580
103349148220
1114695636a0
12795758590
13414b2cb12
1423ab310cc
15149060330
hexc79ff23c

3349148220 has 288 divisors, whose sum is σ = 11650189824. Its totient is φ = 770880000.

The previous prime is 3349148219. The next prime is 3349148249. The reversal of 3349148220 is 228419433.

It is a super-2 number, since 2×33491482202 = 22433587599058336800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11430394 + ... + 11430686.

It is an arithmetic number, because the mean of its divisors is an integer number (40452048).

Almost surely, 23349148220 is an apocalyptic number.

3349148220 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 3349148220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5825094912).

3349148220 is an abundant number, since it is smaller than the sum of its proper divisors (8301041604).

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

3349148220 is a wasteful number, since it uses less digits than its factorization.

3349148220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3349148220 is about 57871.8257876836. The cubic root of 3349148220 is about 1496.1602861183.

The spelling of 3349148220 in words is "three billion, three hundred forty-nine million, one hundred forty-eight thousand, two hundred twenty".