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394069920 = 25353672237
BaseRepresentation
bin10111011111010…
…000011110100000
31000110111211022020
4113133100132200
51301340214140
6103034141440
712523352616
oct2737203640
91013454266
10394069920
11192495622
12abb81880
136384638a
143a49d6b6
15248e16d0
hex177d07a0

394069920 has 96 divisors (see below), whose sum is σ = 1245259008. Its totient is φ = 104752128.

The previous prime is 394069903. The next prime is 394069927. The reversal of 394069920 is 29960493.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3940699202 = 310582203697612800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (394069927) 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, 175042 + ... + 177278.

It is an arithmetic number, because the mean of its divisors is an integer number (12971448).

Almost surely, 2394069920 is an apocalyptic number.

394069920 is a gapful number since it is divisible by the number (30) 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 394069920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622629504).

394069920 is an abundant number, since it is smaller than the sum of its proper divisors (851189088).

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

394069920 is a wasteful number, since it uses less digits than its factorization.

394069920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 394069920 is about 19851.1944225026. The cubic root of 394069920 is about 733.1470564520.

The spelling of 394069920 in words is "three hundred ninety-four million, sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 367 480 734 1101 1468 1835 2202 2237 2936 3670 4404 4474 5505 5872 6711 7340 8808 8948 11010 11185 11744 13422 14680 17616 17896 22020 22370 26844 29360 33555 35232 35792 44040 44740 53688 58720 67110 71584 88080 89480 107376 134220 176160 178960 214752 268440 357920 536880 820979 1073760 1641958 2462937 3283916 4104895 4925874 6567832 8209790 9851748 12314685 13135664 16419580 19703496 24629370 26271328 32839160 39406992 49258740 65678320 78813984 98517480 131356640 197034960 394069920