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45400344 = 23311237477
BaseRepresentation
bin1010110100110…
…0000100011000
310011102120120020
42231030010120
543110302334
64301030440
71060616343
oct255140430
9104376506
1045400344
1123699a50
1213255420
139537912
14605b45a
153ebbe49
hex2b4c118

45400344 has 64 divisors (see below), whose sum is σ = 129219840. Its totient is φ = 13157760.

The previous prime is 45400331. The next prime is 45400351. The reversal of 45400344 is 44300454.

It is a super-2 number, since 2×454003442 = 4122382470636672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2334 + ... + 9810.

It is an arithmetic number, because the mean of its divisors is an integer number (2019060).

Almost surely, 245400344 is an apocalyptic number.

45400344 is a gapful number since it is divisible by the number (44) 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 45400344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64609920).

45400344 is an abundant number, since it is smaller than the sum of its proper divisors (83819496).

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

45400344 is a wasteful number, since it uses less digits than its factorization.

45400344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7520 (or 7516 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 45400344 is about 6737.9777381645. The cubic root of 45400344 is about 356.7410184567.

Adding to 45400344 its reverse (44300454), we get a palindrome (89700798).

The spelling of 45400344 in words is "forty-five million, four hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 6072 7477 14954 22431 29908 44862 59816 82247 89724 164494 171971 179448 246741 328988 343942 493482 515913 657976 687884 986964 1031826 1375768 1891681 1973928 2063652 3783362 4127304 5675043 7566724 11350086 15133448 22700172 45400344