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1346457472 = 27293111701
BaseRepresentation
bin101000001000001…
…0100111110000000
310110211121010102021
41100100110332000
510224143114342
6341335131224
745236461663
oct12020247600
93424533367
101346457472
11631049478
12316b13b14
13185c52ac9
14cab756da
157d31a567
hex50414f80

1346457472 has 64 divisors (see below), whose sum is σ = 2864649600. Its totient is φ = 628992000.

The previous prime is 1346457461. The next prime is 1346457493. The reversal of 1346457472 is 2747546431.

It is a tau number, because it is divible by the number of its divisors (64).

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, 109222 + ... + 120922.

It is an arithmetic number, because the mean of its divisors is an integer number (44760150).

Almost surely, 21346457472 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 1346457472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432324800).

1346457472 is an abundant number, since it is smaller than the sum of its proper divisors (1518192128).

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

1346457472 is a wasteful number, since it uses less digits than its factorization.

1346457472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11775 (or 11763 counting only the distinct ones).

The product of its digits is 564480, while the sum is 43.

The square root of 1346457472 is about 36694.1067747942. The cubic root of 1346457472 is about 1104.2418779694.

The spelling of 1346457472 in words is "one billion, three hundred forty-six million, four hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 128 232 248 464 496 899 928 992 1798 1856 1984 3596 3712 3968 7192 11701 14384 23402 28768 46804 57536 93608 115072 187216 339329 362731 374432 678658 725462 748864 1357316 1450924 1497728 2714632 2901848 5429264 5803696 10519199 10858528 11607392 21038398 21717056 23214784 42076796 43434112 46429568 84153592 168307184 336614368 673228736 1346457472