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394058496 = 28313291361
BaseRepresentation
bin10111011111001…
…101101100000000
31000110111020122010
4113133031230000
51301334332441
6103034012520
712523304406
oct2737155400
91013436563
10394058496
11192487a87
12abb77140
1363841110
143a499476
15248dd116
hex177cdb00

394058496 has 144 divisors (see below), whose sum is σ = 1169249760. Its totient is φ = 116981760.

The previous prime is 394058491. The next prime is 394058501. The reversal of 394058496 is 694850493.

It is an interprime number because it is at equal distance from previous prime (394058491) and next prime (394058501).

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

It is not an unprimeable number, because it can be changed into a prime (394058491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288856 + ... + 290216.

It is an arithmetic number, because the mean of its divisors is an integer number (8119790).

Almost surely, 2394058496 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 394058496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584624880).

394058496 is an abundant number, since it is smaller than the sum of its proper divisors (775191264).

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

394058496 is a wasteful number, since it uses less digits than its factorization.

394058496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 394058496 is about 19850.9066795449. The cubic root of 394058496 is about 733.1399717931.

The spelling of 394058496 in words is "three hundred ninety-four million, fifty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 128 156 174 192 208 232 256 312 348 377 384 416 464 624 696 754 768 832 928 1131 1248 1361 1392 1508 1664 1856 2262 2496 2722 2784 3016 3328 3712 4083 4524 4992 5444 5568 6032 7424 8166 9048 9984 10888 11136 12064 16332 17693 18096 21776 22272 24128 32664 35386 36192 39469 43552 48256 53079 65328 70772 72384 78938 87104 96512 106158 118407 130656 141544 144768 157876 174208 212316 236814 261312 283088 289536 315752 348416 424632 473628 513097 522624 566176 631504 849264 947256 1026194 1045248 1132352 1263008 1539291 1698528 1894512 2052388 2264704 2526016 3078582 3397056 3789024 4104776 4529408 5052032 6157164 6794112 7578048 8209552 10104064 12314328 13588224 15156096 16419104 24628656 30312192 32838208 49257312 65676416 98514624 131352832 197029248 394058496