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1354035424 = 25723723339
BaseRepresentation
bin101000010110100…
…1111000011100000
310111100212010102011
41100231033003200
510233113113144
6342205402304
745361053100
oct12055170340
93440763364
101354035424
11635354945
12319569394
131876a70c1
14cbb89200
157dd15a34
hex50b4f0e0

1354035424 has 72 divisors (see below), whose sum is σ = 3184929720. Its totient is φ = 564592896.

The previous prime is 1354035413. The next prime is 1354035443. The reversal of 1354035424 is 4245304531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46347 + ... + 69685.

It is an arithmetic number, because the mean of its divisors is an integer number (44235135).

Almost surely, 21354035424 is an apocalyptic number.

1354035424 is a gapful number since it is divisible by the number (14) 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 1354035424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592464860).

1354035424 is an abundant number, since it is smaller than the sum of its proper divisors (1830894296).

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

1354035424 is a wasteful number, since it uses less digits than its factorization.

1354035424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23400 (or 23385 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 1354035424 is about 36797.2203298021. The cubic root of 1354035424 is about 1106.3095859294.

Adding to 1354035424 its reverse (4245304531), we get a palindrome (5599339955).

The spelling of 1354035424 in words is "one billion, three hundred fifty-four million, thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 74 98 112 148 196 224 259 296 392 518 592 784 1036 1184 1568 1813 2072 3626 4144 7252 8288 14504 23339 29008 46678 58016 93356 163373 186712 326746 373424 653492 746848 863543 1143611 1306984 1727086 2287222 2613968 3454172 4574444 5227936 6044801 6908344 9148888 12089602 13816688 18297776 24179204 27633376 36595552 42313607 48358408 84627214 96716816 169254428 193433632 338508856 677017712 1354035424