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454375240 = 235116715413
BaseRepresentation
bin11011000101010…
…011011101001000
31011122222122122121
4123011103131020
51412310001430
6113030501024
714155061104
oct3305233510
91148878577
10454375240
11213534930
12108204774
137319c2b7
14444ba904
1529d54a7a
hex1b153748

454375240 has 64 divisors (see below), whose sum is σ = 1132004160. Its totient is φ = 162750720.

The previous prime is 454375223. The next prime is 454375249. The reversal of 454375240 is 42573454.

It is a junction number, because it is equal to n+sod(n) for n = 454375196 and 454375205.

It is not an unprimeable number, because it can be changed into a prime (454375249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21774 + ... + 37186.

It is an arithmetic number, because the mean of its divisors is an integer number (17687565).

Almost surely, 2454375240 is an apocalyptic number.

454375240 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 454375240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566002080).

454375240 is an abundant number, since it is smaller than the sum of its proper divisors (677628920).

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

454375240 is a wasteful number, since it uses less digits than its factorization.

454375240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15502 (or 15498 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 34.

The square root of 454375240 is about 21316.0793768460. The cubic root of 454375240 is about 768.7849730492.

The spelling of 454375240 in words is "four hundred fifty-four million, three hundred seventy-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 220 268 335 440 536 670 737 1340 1474 2680 2948 3685 5896 7370 14740 15413 29480 30826 61652 77065 123304 154130 169543 308260 339086 616520 678172 847715 1032671 1356344 1695430 2065342 3390860 4130684 5163355 6781720 8261368 10326710 11359381 20653420 22718762 41306840 45437524 56796905 90875048 113593810 227187620 454375240