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64357380 = 223252912329
BaseRepresentation
bin1111010110000…
…0010000000100
311111002200201200
43311200100010
5112433414010
610215222500
71411012563
oct365402004
9144080650
1064357380
113336771a
1219677a30
13104443b9
148793bda
1559b3cc0
hex3d60404

64357380 has 72 divisors (see below), whose sum is σ = 201965400. Its totient is φ = 16568832.

The previous prime is 64357373. The next prime is 64357471. The reversal of 64357380 is 8375346.

It is a happy number.

64357380 is a `hidden beast` number, since 6 + 4 + 3 + 573 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101124 + 64256256 = 318^2 + 8016^2 .

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

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, 945 + ... + 11384.

It is an arithmetic number, because the mean of its divisors is an integer number (2805075).

Almost surely, 264357380 is an apocalyptic number.

64357380 is a gapful number since it is divisible by the number (60) 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 64357380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100982700).

64357380 is an abundant number, since it is smaller than the sum of its proper divisors (137608020).

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

64357380 is a wasteful number, since it uses less digits than its factorization.

64357380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12373 (or 12368 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 64357380 is about 8022.3051550038. The cubic root of 64357380 is about 400.7431600943.

The spelling of 64357380 in words is "sixty-four million, three hundred fifty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 12329 24658 36987 49316 61645 73974 110961 123290 147948 184935 221922 246580 357541 369870 443844 554805 715082 739740 1072623 1109610 1430164 1787705 2145246 2219220 3217869 3575410 4290492 5363115 6435738 7150820 10726230 12871476 16089345 21452460 32178690 64357380