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1345115464 = 237211378431
BaseRepresentation
bin101000000101100…
…1101010101001000
310110202001221112021
41100023031111020
510223322143324
6341250254224
745222202300
oct12013152510
93422057467
101345115464
11630312180
12316587374
131858a3014
14ca906600
157d152ae4
hex502cd548

1345115464 has 96 divisors (see below), whose sum is σ = 3287468160. Its totient is φ = 509846400.

The previous prime is 1345115449. The next prime is 1345115477. The reversal of 1345115464 is 4645115431.

It is a super-2 number, since 2×13451154642 = 3618671222983870592, which contains 22 as substring.

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, 155329 + ... + 163759.

It is an arithmetic number, because the mean of its divisors is an integer number (34244460).

Almost surely, 21345115464 is an apocalyptic number.

1345115464 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 1345115464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643734080).

1345115464 is an abundant number, since it is smaller than the sum of its proper divisors (1942352696).

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

1345115464 is a wasteful number, since it uses less digits than its factorization.

1345115464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8499 (or 8488 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 1345115464 is about 36675.8157918812. The cubic root of 1345115464 is about 1103.8748917426.

The spelling of 1345115464 in words is "one billion, three hundred forty-five million, one hundred fifteen thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 49 56 74 77 88 98 148 154 196 259 296 308 392 407 518 539 616 814 1036 1078 1628 1813 2072 2156 2849 3256 3626 4312 5698 7252 8431 11396 14504 16862 19943 22792 33724 39886 59017 67448 79772 92741 118034 159544 185482 236068 311947 370964 413119 472136 623894 649187 741928 826238 1247788 1298374 1652476 2183629 2495576 2596748 3304952 3431417 4367258 4544309 5193496 6862834 8734516 9088618 13725668 15285403 17469032 18177236 24019919 27451336 30570806 36354472 48039838 61141612 96079676 122283224 168139433 192159352 336278866 672557732 1345115464