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398323640 = 235111383839
BaseRepresentation
bin10111101111011…
…110111110111000
31000202111221022102
4113233132332320
51303432324030
6103305242532
712604460261
oct2757367670
91022457272
10398323640
111949304a0
12b1493448
13646a5580
143ac89968
1524e81c45
hex17bdefb8

398323640 has 128 divisors (see below), whose sum is σ = 1066867200. Its totient is φ = 131934720.

The previous prime is 398323621. The next prime is 398323661. The reversal of 398323640 is 46323893.

It is a junction number, because it is equal to n+sod(n) for n = 398323594 and 398323603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474341 + ... + 475179.

It is an arithmetic number, because the mean of its divisors is an integer number (8334900).

Almost surely, 2398323640 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 398323640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533433600).

398323640 is an abundant number, since it is smaller than the sum of its proper divisors (668543560).

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

398323640 is a wasteful number, since it uses less digits than its factorization.

398323640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The square root of 398323640 is about 19958.0469986419. The cubic root of 398323640 is about 735.7755646412.

The spelling of 398323640 in words is "three hundred ninety-eight million, three hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 83 88 104 110 130 143 166 220 260 286 332 415 440 520 572 664 715 830 839 913 1079 1144 1430 1660 1678 1826 2158 2860 3320 3356 3652 4195 4316 4565 5395 5720 6712 7304 8390 8632 9130 9229 10790 10907 11869 16780 18260 18458 21580 21814 23738 33560 36520 36916 43160 43628 46145 47476 54535 59345 69637 73832 87256 92290 94952 109070 118690 119977 139274 184580 218140 237380 239954 278548 348185 369160 436280 474760 479908 557096 599885 696370 766007 905281 959816 1199770 1392740 1532014 1810562 2399540 2785480 3064028 3621124 3830035 4526405 4799080 6128056 7242248 7660070 9052810 9958091 15320140 18105620 19916182 30640280 36211240 39832364 49790455 79664728 99580910 199161820 398323640