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3214102032 = 243410932269
BaseRepresentation
bin1011111110010011…
…0100111000010000
322021222220022010000
42333210310320100
523040302231112
61250533210000
7142435262601
oct27744647020
98258808100
103214102032
1113aa305479
12758490900
133c2b6852b
14226c19da8
1513c2867dc
hexbf934e10

3214102032 has 100 divisors (see below), whose sum is σ = 9315158380. Its totient is φ = 1069915392.

The previous prime is 3214102019. The next prime is 3214102039. The reversal of 3214102032 is 2302014123.

3214102032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1746905616 + 1467196416 = 41796^2 + 38304^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3214101996 and 3214102014.

It is not an unprimeable number, because it can be changed into a prime (3214102039) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1415394 + ... + 1417662.

Almost surely, 23214102032 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 3214102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4657579190).

3214102032 is an abundant number, since it is smaller than the sum of its proper divisors (6101056348).

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

3214102032 is a wasteful number, since it uses less digits than its factorization.

3214102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3367 counting only the distinct ones).

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

The square root of 3214102032 is about 56693.0510027464. The cubic root of 3214102032 is about 1475.7741078060.

Adding to 3214102032 its reverse (2302014123), we get a palindrome (5516116155).

The spelling of 3214102032 in words is "three billion, two hundred fourteen million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1093 1296 2186 2269 3279 4372 4538 6558 6807 8744 9076 9837 13116 13614 17488 18152 19674 20421 26232 27228 29511 36304 39348 40842 52464 54456 59022 61263 78696 81684 88533 108912 118044 122526 157392 163368 177066 183789 236088 245052 326736 354132 367578 472176 490104 708264 735156 980208 1416528 1470312 2480017 2940624 4960034 7440051 9920068 14880102 19840136 22320153 29760204 39680272 44640306 59520408 66960459 89280612 119040816 133920918 178561224 200881377 267841836 357122448 401762754 535683672 803525508 1071367344 1607051016 3214102032