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1393334784 = 29363733
BaseRepresentation
bin101001100001100…
…1001101000000000
310121002210202000000
41103003021220000
510323143203114
6350132000000
746346102352
oct12303115000
93532722000
101393334784
11655557056
1232a760000
13192886a6a
14d30990d2
15824c9e09
hex530c9a00

1393334784 has 140 divisors (see below), whose sum is σ = 4175131026. Its totient is φ = 464320512.

The previous prime is 1393334777. The next prime is 1393334797. The reversal of 1393334784 is 4874333931.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1164720384 + 228614400 = 34128^2 + 15120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 371382 + ... + 375114.

Almost surely, 21393334784 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 1393334784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087565513).

1393334784 is an abundant number, since it is smaller than the sum of its proper divisors (2781796242).

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

1393334784 is an frugal number, since it uses more digits than its factorization.

1393334784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769 (or 3738 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 1393334784 is about 37327.3999094499. The cubic root of 1393334784 is about 1116.9108069244.

The spelling of 1393334784 in words is "one billion, three hundred ninety-three million, three hundred thirty-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2916 3456 3733 3888 4608 5184 5832 6912 7466 7776 10368 11199 11664 13824 14932 15552 20736 22398 23328 29864 31104 33597 41472 44796 46656 59728 62208 67194 89592 93312 100791 119456 124416 134388 179184 186624 201582 238912 268776 302373 358368 373248 403164 477824 537552 604746 716736 806328 907119 955648 1075104 1209492 1433472 1612656 1814238 1911296 2150208 2418984 2721357 2866944 3225312 3628476 4300416 4837968 5442714 5733888 6450624 7256952 8600832 9675936 10885428 12901248 14513904 17201664 19351872 21770856 25802496 29027808 38703744 43541712 51604992 58055616 77407488 87083424 116111232 154814976 174166848 232222464 348333696 464444928 696667392 1393334784