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1453432440 = 2335292411733
BaseRepresentation
bin101011010100001…
…1001111001111000
310202021220000111010
41112220121321320
510434034314230
6400120033520
751005654235
oct12650317170
93667800433
101453432440
11686474339
123469028a0
131a21692c5
14db06078c
15878eb9b0
hex56a19e78

1453432440 has 128 divisors (see below), whose sum is σ = 4531982400. Its totient is φ = 372449280.

The previous prime is 1453432439. The next prime is 1453432447. The reversal of 1453432440 is 442343541.

It is a super-2 number, since 2×14534324402 = 4224931715288707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1453432398 and 1453432407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453432447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 837814 + ... + 839546.

Almost surely, 21453432440 is an apocalyptic number.

1453432440 is a gapful number since it is divisible by the number (10) 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 1453432440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265991200).

1453432440 is an abundant number, since it is smaller than the sum of its proper divisors (3078549960).

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

1453432440 is a wasteful number, since it uses less digits than its factorization.

1453432440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 1453432440 is about 38123.9090335710. The cubic root of 1453432440 is about 1132.7435982184.

Adding to 1453432440 its reverse (442343541), we get a palindrome (1895775981).

The spelling of 1453432440 in words is "one billion, four hundred fifty-three million, four hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 241 290 348 435 482 580 696 723 870 964 1160 1205 1446 1733 1740 1928 2410 2892 3466 3480 3615 4820 5199 5784 6932 6989 7230 8665 9640 10398 13864 13978 14460 17330 20796 20967 25995 27956 28920 34660 34945 41592 41934 50257 51990 55912 69320 69890 83868 100514 103980 104835 139780 150771 167736 201028 207960 209670 251285 279560 301542 402056 417653 419340 502570 603084 753855 835306 838680 1005140 1206168 1252959 1507710 1670612 2010280 2088265 2505918 3015420 3341224 4176530 5011836 6030840 6264795 8353060 10023672 12111937 12529590 16706120 24223874 25059180 36335811 48447748 50118360 60559685 72671622 96895496 121119370 145343244 181679055 242238740 290686488 363358110 484477480 726716220 1453432440