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64431234 = 2337237411
BaseRepresentation
bin1111010111001…
…0010010000010
311111020110001000
43311302102002
5112443244414
610220552430
71411441110
oct365622202
9144213030
1064431234
113340815a
12196b2716
131046bbba
1487b2ab0
1559cab09
hex3d72482

64431234 has 64 divisors (see below), whose sum is σ = 170772480. Its totient is φ = 17606160.

The previous prime is 64431221. The next prime is 64431239. The reversal of 64431234 is 43213446.

64431234 is a `hidden beast` number, since 644 + 3 + 12 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 64431198 and 64431207.

It is not an unprimeable number, because it can be changed into a prime (64431239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4989 + ... + 12399.

It is an arithmetic number, because the mean of its divisors is an integer number (2668320).

Almost surely, 264431234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64431234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85386240).

64431234 is an abundant number, since it is smaller than the sum of its proper divisors (106341246).

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

64431234 is a wasteful number, since it uses less digits than its factorization.

64431234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7452 (or 7446 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 64431234 is about 8026.9068762507. The cubic root of 64431234 is about 400.8963938612.

It can be divided in two parts, 644 and 31234, that added together give a triangular number (31878 = T252).

The spelling of 64431234 in words is "sixty-four million, four hundred thirty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 2898 4347 7411 8694 14822 22233 44466 51877 66699 103754 133398 155631 170453 200097 311262 340906 400194 466893 511359 933786 1022718 1193171 1400679 1534077 2386342 2801358 3068154 3579513 4602231 7159026 9204462 10738539 21477078 32215617 64431234