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398831004 = 2232112137043
BaseRepresentation
bin10111110001011…
…010110110011100
31000210110201021200
4113301122312130
51304100043004
6103324155500
712612002415
oct2761326634
91023421250
10398831004
11195147700
12b1698b90
13648224a0
143ad7c80c
1525032239
hex17c5ad9c

398831004 has 108 divisors (see below), whose sum is σ = 1193549448. Its totient is φ = 111545280.

The previous prime is 398831003. The next prime is 398831021. The reversal of 398831004 is 400138893.

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

It is a self number, because there is not a number n which added to its sum of digits gives 398831004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398831003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53107 + ... + 60149.

Almost surely, 2398831004 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 398831004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596774724).

398831004 is an abundant number, since it is smaller than the sum of its proper divisors (794718444).

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

398831004 is a wasteful number, since it uses less digits than its factorization.

398831004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7088 (or 7072 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 398831004 is about 19970.7537163723. The cubic root of 398831004 is about 736.0878296847.

Adding to 398831004 its reverse (400138893), we get a palindrome (798969897).

The spelling of 398831004 in words is "three hundred ninety-eight million, eight hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 121 132 143 156 198 234 242 286 363 396 429 468 484 572 726 858 1089 1287 1452 1573 1716 2178 2574 3146 4356 4719 5148 6292 7043 9438 14086 14157 18876 21129 28172 28314 42258 56628 63387 77473 84516 91559 126774 154946 183118 232419 253548 274677 309892 366236 464838 549354 697257 824031 852203 929676 1007149 1098708 1394514 1648062 1704406 2014298 2556609 2789028 3021447 3296124 3408812 4028596 5113218 6042894 7669827 9064341 10226436 11078639 12085788 15339654 18128682 22157278 30679308 33235917 36257364 44314556 66471834 99707751 132943668 199415502 398831004