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3414023010 = 2325320911821
BaseRepresentation
bin1100101101111101…
…1101101101100010
322210221002100010200
43023133131231202
523442442214020
61322434210030
7150413500566
oct31337355542
98727070120
103414023010
1114a2144022
127b3423916
134253c5878
142455bb6a6
1514eac7590
hexcb7ddb62

3414023010 has 48 divisors (see below), whose sum is σ = 8879977080. Its totient is φ = 910045440.

The previous prime is 3414023003. The next prime is 3414023029. The reversal of 3414023010 is 103204143.

It can be written as a sum of positive squares in 4 ways, for example, as 2213608401 + 1200414609 = 47049^2 + 34647^2 .

It is a super-2 number, since 2×34140230102 = 23311106225618920200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 282900 + ... + 294720.

Almost surely, 23414023010 is an apocalyptic number.

3414023010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3414023010 is an abundant number, since it is smaller than the sum of its proper divisors (5465954070).

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

3414023010 is a wasteful number, since it uses less digits than its factorization.

3414023010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15043 (or 15040 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3414023010 is about 58429.6415357822. The cubic root of 3414023010 is about 1505.7590472854.

Adding to 3414023010 its reverse (103204143), we get a palindrome (3517227153).

The spelling of 3414023010 in words is "three billion, four hundred fourteen million, twenty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 3209 6418 9627 11821 16045 19254 23642 28881 32090 35463 48135 57762 59105 70926 96270 106389 118210 144405 177315 212778 288810 354630 531945 1063890 37933589 75867178 113800767 189667945 227601534 341402301 379335890 569003835 682804602 1138007670 1707011505 3414023010