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1353503034 = 234132327943
BaseRepresentation
bin101000010101100…
…1101000100111010
310111022212002010000
41100223031010322
510232444044114
6342150133430
745353404662
oct12053150472
93438762100
101353503034
11635020954
12319351276
1318754b990
14cba8b1a2
157dc5ce09
hex50acd13a

1353503034 has 80 divisors (see below), whose sum is σ = 3408273792. Its totient is φ = 398341152.

The previous prime is 1353502999. The next prime is 1353503071. The reversal of 1353503034 is 4303053531.

It is a happy number.

1353503034 is a `hidden beast` number, since 1 + 3 + 5 + 350 + 303 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1353502989 and 1353503007.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34467 + ... + 62409.

Almost surely, 21353503034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353503034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704136896).

1353503034 is an abundant number, since it is smaller than the sum of its proper divisors (2054770758).

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

1353503034 is a wasteful number, since it uses less digits than its factorization.

1353503034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27993 (or 27984 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 1353503034 is about 36789.9855123646. The cubic root of 1353503034 is about 1106.1645711680.

Adding to 1353503034 its reverse (4303053531), we get a palindrome (5656556565).

It can be divided in two parts, 135350 and 3034, that added together give a square (138384 = 3722).

The spelling of 1353503034 in words is "one billion, three hundred fifty-three million, five hundred three thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 81 117 138 162 207 234 299 351 414 598 621 702 897 1053 1242 1794 1863 2106 2691 3726 5382 8073 16146 24219 27943 48438 55886 83829 167658 251487 363259 502974 642689 726518 754461 1089777 1285378 1508922 1928067 2179554 2263383 3269331 3856134 4526766 5784201 6538662 8354957 9807993 11568402 16709914 17352603 19615986 25064871 29423979 34705206 50129742 52057809 58847958 75194613 104115618 150389226 225583839 451167678 676751517 1353503034