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673688064 = 293728951
BaseRepresentation
bin101000001001111…
…010101000000000
31201221122220021210
4220021322220000
52334431004224
6150503250120
722460153100
oct5011725000
91657586253
10673688064
113163088a5
12169749940
13a9758cba
1465689200
153e226429
hex2827aa00

673688064 has 120 divisors (see below), whose sum is σ = 2088000288. Its totient is φ = 192460800.

The previous prime is 673688051. The next prime is 673688107. The reversal of 673688064 is 460886376.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70789 + ... + 79739.

Almost surely, 2673688064 is an apocalyptic number.

673688064 is a gapful number since it is divisible by the number (64) 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 673688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044000144).

673688064 is an abundant number, since it is smaller than the sum of its proper divisors (1414312224).

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

673688064 is an equidigital number, since it uses as much as digits as its factorization.

673688064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8986 (or 8963 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 673688064 is about 25955.5016133382. The cubic root of 673688064 is about 876.6366381852.

The spelling of 673688064 in words is "six hundred seventy-three million, six hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1176 1344 1536 1568 1792 2352 2688 3136 3584 4704 5376 6272 8951 9408 10752 12544 17902 18816 25088 26853 35804 37632 53706 62657 71608 75264 107412 125314 143216 187971 214824 250628 286432 375942 429648 438599 501256 572864 751884 859296 877198 1002512 1145728 1315797 1503768 1718592 1754396 2005024 2291456 2631594 3007536 3437184 3508792 4010048 4582912 5263188 6015072 6874368 7017584 8020096 10526376 12030144 13748736 14035168 16040192 21052752 24060288 28070336 32080384 42105504 48120576 56140672 84211008 96241152 112281344 168422016 224562688 336844032 673688064