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469346640 = 24357337829
BaseRepresentation
bin11011111110011…
…010100101010000
31012201011021112220
4123332122211100
51430123043030
6114323421040
714426244360
oct3376324520
91181137486
10469346640
11220a30094
12111224780
1376311909
14464969a0
152b310a10
hex1bf9a950

469346640 has 160 divisors (see below), whose sum is σ = 1669774080. Its totient is φ = 106831872.

The previous prime is 469346629. The next prime is 469346651. The reversal of 469346640 is 46643964.

It is an interprime number because it is at equal distance from previous prime (469346629) and next prime (469346651).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 469346592 and 469346601.

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, 565746 + ... + 566574.

It is an arithmetic number, because the mean of its divisors is an integer number (10436088).

Almost surely, 2469346640 is an apocalyptic number.

469346640 is a gapful number since it is divisible by the number (40) 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 469346640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834887040).

469346640 is an abundant number, since it is smaller than the sum of its proper divisors (1200427440).

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

469346640 is a wasteful number, since it uses less digits than its factorization.

469346640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 469346640 is about 21664.4095234557. The cubic root of 469346640 is about 777.1375688335.

The spelling of 469346640 in words is "four hundred sixty-nine million, three hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 337 420 560 674 829 840 1011 1348 1658 1680 1685 2022 2359 2487 2696 3316 3370 4044 4145 4718 4974 5055 5392 5803 6632 6740 7077 8088 8290 9436 9948 10110 11606 11795 12435 13264 13480 14154 16176 16580 17409 18872 19896 20220 23212 23590 24870 26960 28308 29015 33160 34818 35385 37744 39792 40440 46424 47180 49740 56616 58030 66320 69636 70770 80880 87045 92848 94360 99480 113232 116060 139272 141540 174090 188720 198960 232120 278544 279373 283080 348180 464240 558746 566160 696360 838119 1117492 1392720 1396865 1676238 1955611 2234984 2793730 3352476 3911222 4190595 4469968 5587460 5866833 6704952 7822444 8381190 9778055 11174920 11733666 13409904 15644888 16762380 19556110 22349840 23467332 29334165 31289776 33524760 39112220 46934664 58668330 67049520 78224440 93869328 117336660 156448880 234673320 469346640