Search a number
-
+
398011392 = 21032192273
BaseRepresentation
bin10111101110010…
…010110000000000
31000201221001222200
4113232102300000
51303342331032
6103254433200
712602020032
oct2756226000
91021831880
10398011392
11194737939
12b1362800
13645c63cc
143ac07c52
1524e1e47c
hex17b92c00

398011392 has 132 divisors (see below), whose sum is σ = 1210268280. Its totient is φ = 125632512.

The previous prime is 398011391. The next prime is 398011409. The reversal of 398011392 is 293110893.

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

It is not an unprimeable number, because it can be changed into a prime (398011391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173968 + ... + 176240.

Almost surely, 2398011392 is an apocalyptic number.

398011392 is a gapful number since it is divisible by the number (32) 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 398011392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605134140).

398011392 is an abundant number, since it is smaller than the sum of its proper divisors (812256888).

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

398011392 is a wasteful number, since it uses less digits than its factorization.

398011392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 398011392 is about 19950.2228558981. Note that the first 3 decimals coincide. The cubic root of 398011392 is about 735.5832549344.

The spelling of 398011392 in words is "three hundred ninety-eight million, eleven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 2273 2304 2432 2736 3072 3648 4546 4608 4864 5472 6819 7296 9092 9216 9728 10944 13638 14592 18184 19456 20457 21888 27276 29184 36368 40914 43187 43776 54552 58368 72736 81828 86374 87552 109104 129561 145472 163656 172748 175104 218208 259122 290944 327312 345496 388683 436416 518244 581888 654624 690992 777366 872832 1036488 1163776 1309248 1381984 1554732 1745664 2072976 2327552 2618496 2763968 3109464 3491328 4145952 5236992 5527936 6218928 6982656 8291904 10473984 11055872 12437856 16583808 20947968 22111744 24875712 33167616 44223488 49751424 66335232 99502848 132670464 199005696 398011392