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1353440352 = 253111281667
BaseRepresentation
bin101000010101011…
…1101110001100000
310111022201220010110
41100222331301200
510232440042402
6342144531320
745353024145
oct12052756140
93438656113
101353440352
11634a88850
12319320b40
131875292a4
14cba723cc
157dc4956c
hex50abdc60

1353440352 has 48 divisors (see below), whose sum is σ = 3875764032. Its totient is φ = 410133120.

The previous prime is 1353440317. The next prime is 1353440369. The reversal of 1353440352 is 2530443531.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 639778 + ... + 641889.

It is an arithmetic number, because the mean of its divisors is an integer number (80745084).

Almost surely, 21353440352 is an apocalyptic number.

1353440352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1353440352 is an abundant number, since it is smaller than the sum of its proper divisors (2522323680).

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

1353440352 is a wasteful number, since it uses less digits than its factorization.

1353440352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281691 (or 1281683 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 1353440352 is about 36789.1336130657. The cubic root of 1353440352 is about 1106.1474950635.

Adding to 1353440352 its reverse (2530443531), we get a palindrome (3883883883).

The spelling of 1353440352 in words is "one billion, three hundred fifty-three million, four hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1281667 2563334 3845001 5126668 7690002 10253336 14098337 15380004 20506672 28196674 30760008 41013344 42295011 56393348 61520016 84590022 112786696 123040032 169180044 225573392 338360088 451146784 676720176 1353440352