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54790344 = 2334747257
BaseRepresentation
bin1101000100000…
…0100011001000
310211002122020000
43101000203020
5103011242334
65234203000
71233465420
oct321004310
9124078200
1054790344
1128a22884
1216423460
13b47492b
1473c3480
154c24299
hex34408c8

54790344 has 160 divisors (see below), whose sum is σ = 179815680. Its totient is φ = 15261696.

The previous prime is 54790339. The next prime is 54790363. The reversal of 54790344 is 44309745.

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

It is a junction number, because it is equal to n+sod(n) for n = 54790299 and 54790308.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 213064 + ... + 213320.

It is an arithmetic number, because the mean of its divisors is an integer number (1123848).

Almost surely, 254790344 is an apocalyptic number.

54790344 is a gapful number since it is divisible by the number (54) 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 54790344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89907840).

54790344 is an abundant number, since it is smaller than the sum of its proper divisors (125025336).

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

54790344 is a wasteful number, since it uses less digits than its factorization.

54790344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

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

The square root of 54790344 is about 7402.0499863214. The cubic root of 54790344 is about 379.8114115002.

The spelling of 54790344 in words is "fifty-four million, seven hundred ninety thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 81 84 94 108 126 141 162 168 188 189 216 252 257 282 324 329 376 378 423 504 514 564 567 648 658 756 771 846 987 1028 1128 1134 1269 1316 1512 1542 1692 1799 1974 2056 2268 2313 2538 2632 2961 3084 3384 3598 3807 3948 4536 4626 5076 5397 5922 6168 6939 7196 7614 7896 8883 9252 10152 10794 11844 12079 13878 14392 15228 16191 17766 18504 20817 21588 23688 24158 26649 27756 30456 32382 35532 36237 41634 43176 48316 48573 53298 55512 64764 71064 72474 83268 84553 96632 97146 106596 108711 129528 144948 145719 166536 169106 194292 213192 217422 253659 289896 291438 326133 338212 388584 434844 507318 582876 652266 676424 760977 869688 978399 1014636 1165752 1304532 1521954 1956798 2029272 2282931 2609064 3043908 3913596 4565862 6087816 6848793 7827192 9131724 13697586 18263448 27395172 54790344