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1464408348 = 223133726857
BaseRepresentation
bin101011101001001…
…0001100100011100
310210001112122121020
41113102101210130
510444342031343
6401151204140
751201160044
oct12722214434
93701478536
101464408348
11691690737
1234a516650
131a4510120
14dc6ba724
1588868b83
hex5749191c

1464408348 has 72 divisors (see below), whose sum is σ = 3782488752. Its totient is φ = 438345216.

The previous prime is 1464408317. The next prime is 1464408353. The reversal of 1464408348 is 8438044641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210136 + ... + 216992.

It is an arithmetic number, because the mean of its divisors is an integer number (52534566).

Almost surely, 21464408348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1464408348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891244376).

1464408348 is an abundant number, since it is smaller than the sum of its proper divisors (2318080404).

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

1464408348 is a wasteful number, since it uses less digits than its factorization.

1464408348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6951 (or 6912 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 1464408348 is about 38267.5887403427. The cubic root of 1464408348 is about 1135.5878362848.

The spelling of 1464408348 in words is "one billion, four hundred sixty-four million, four hundred eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1369 1443 1924 2738 2886 4107 5476 5772 6857 8214 13714 16428 17797 20571 27428 35594 41142 53391 71188 82284 89141 106782 178282 213564 253709 267423 356564 507418 534846 761127 1014836 1069692 1522254 3044508 3298217 6596434 9387233 9894651 13192868 18774466 19789302 28161699 37548932 39578604 56323398 112646796 122034029 244068058 366102087 488136116 732204174 1464408348