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1374414432 = 253372391619
BaseRepresentation
bin101000111101011…
…1110011001100000
310112210012111011020
41101322332121200
510303322230212
6344214245440
746026221106
oct12172763140
93483174136
101374414432
116459039a6
12324356880
1318b990ba1
14d0771c76
15809ddd8c
hex51ebe660

1374414432 has 96 divisors (see below), whose sum is σ = 3723148800. Its totient is φ = 443616768.

The previous prime is 1374414421. The next prime is 1374414443. The reversal of 1374414432 is 2344144731.

It is an interprime number because it is at equal distance from previous prime (1374414421) and next prime (1374414443).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1374414393 and 1374414402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 848119 + ... + 849737.

It is an arithmetic number, because the mean of its divisors is an integer number (38782800).

Almost surely, 21374414432 is an apocalyptic number.

1374414432 is a gapful number since it is divisible by the number (12) 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 1374414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861574400).

1374414432 is an abundant number, since it is smaller than the sum of its proper divisors (2348734368).

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

1374414432 is a wasteful number, since it uses less digits than its factorization.

1374414432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1900 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 1374414432 is about 37073.0957973569. The cubic root of 1374414432 is about 1111.8321693470.

The spelling of 1374414432 in words is "one billion, three hundred seventy-four million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 239 296 444 478 592 717 888 956 1184 1434 1619 1776 1912 2868 3238 3552 3824 4857 5736 6476 7648 8843 9714 11472 12952 17686 19428 22944 25904 26529 35372 38856 51808 53058 59903 70744 77712 106116 119806 141488 155424 179709 212232 239612 282976 359418 386941 424464 479224 718836 773882 848928 958448 1160823 1437672 1547764 1916896 2321646 2875344 3095528 4643292 5750688 6191056 9286584 12382112 14316817 18573168 28633634 37146336 42950451 57267268 85900902 114534536 171801804 229069072 343603608 458138144 687207216 1374414432