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3214441032 = 2331117370381
BaseRepresentation
bin1011111110011000…
…0111101001001000
322022000112112010120
42333212013221020
523040344103112
61250544343240
7142441204125
oct27746075110
98260475116
103214441032
1113aa517140
12758614b20
133c2c5691a
14226ca774c
1513c301e8c
hexbf987a48

3214441032 has 64 divisors (see below), whose sum is σ = 8817456960. Its totient is φ = 968428800.

The previous prime is 3214441031. The next prime is 3214441037. The reversal of 3214441032 is 2301444123.

It is a super-2 number, since 2×32144410322 = 20665262296410450048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3214440993 and 3214441011.

It is not an unprimeable number, because it can be changed into a prime (3214441031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10482 + ... + 80862.

It is an arithmetic number, because the mean of its divisors is an integer number (137772765).

Almost surely, 23214441032 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 3214441032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408728480).

3214441032 is an abundant number, since it is smaller than the sum of its proper divisors (5603015928).

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

3214441032 is a wasteful number, since it uses less digits than its factorization.

3214441032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70574 (or 70570 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3214441032 is about 56696.0407083246. The cubic root of 3214441032 is about 1475.8259906056.

Adding to 3214441032 its reverse (2301444123), we get a palindrome (5515885155).

The spelling of 3214441032 in words is "three billion, two hundred fourteen million, four hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 173 264 346 519 692 1038 1384 1903 2076 3806 4152 5709 7612 11418 15224 22836 45672 70381 140762 211143 281524 422286 563048 774191 844572 1548382 1689144 2322573 3096764 4645146 6193528 9290292 12175913 18580584 24351826 36527739 48703652 73055478 97407304 133935043 146110956 267870086 292221912 401805129 535740172 803610258 1071480344 1607220516 3214441032