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46345440 = 253596553
BaseRepresentation
bin1011000011001…
…0110011100000
310020012120222210
42300302303200
543331023230
64333202120
71101633621
oct260626340
9106176883
1046345440
1124185019
1213630340
1397a8b4b
146225a48
154106eb0
hex2c32ce0

46345440 has 48 divisors (see below), whose sum is σ = 145989648. Its totient is φ = 12358656.

The previous prime is 46345433. The next prime is 46345459. The reversal of 46345440 is 4454364.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 46345398 and 46345407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47797 + ... + 48756.

It is an arithmetic number, because the mean of its divisors is an integer number (3041451).

Almost surely, 246345440 is an apocalyptic number.

46345440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46345440 is an abundant number, since it is smaller than the sum of its proper divisors (99644208).

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

46345440 is a wasteful number, since it uses less digits than its factorization.

46345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96571 (or 96563 counting only the distinct ones).

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

The square root of 46345440 is about 6807.7485264954. The cubic root of 46345440 is about 359.1994556897.

The spelling of 46345440 in words is "forty-six million, three hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 96553 193106 289659 386212 482765 579318 772424 965530 1158636 1448295 1544848 1931060 2317272 2896590 3089696 3862120 4634544 5793180 7724240 9269088 11586360 15448480 23172720 46345440