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1073430144 = 273534511
BaseRepresentation
bin111111111110110…
…011111010000000
32202210211220100000
4333332303322000
54144244231034
6254303200000
735413001643
oct7776637200
92683756300
101073430144
11500a17a56
1225b5a6000
1314150a087
14a27c3a5a
1564388599
hex3ffb3e80

1073430144 has 96 divisors (see below), whose sum is σ = 3203403840. Its totient is φ = 357799680.

The previous prime is 1073430139. The next prime is 1073430181. The reversal of 1073430144 is 4410343701.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13849 + ... + 48359.

It is an arithmetic number, because the mean of its divisors is an integer number (33368790).

Almost surely, 21073430144 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 1073430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601701920).

1073430144 is an abundant number, since it is smaller than the sum of its proper divisors (2129973696).

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

1073430144 is an frugal number, since it uses more digits than its factorization.

1073430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34540 (or 34516 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1073430144 is about 32763.2437954486. The cubic root of 1073430144 is about 1023.9009100080.

Adding to 1073430144 its reverse (4410343701), we get a palindrome (5483773845).

The spelling of 1073430144 in words is "one billion, seventy-three million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 34511 69022 103533 138044 207066 276088 310599 414132 552176 621198 828264 931797 1104352 1242396 1656528 1863594 2208704 2484792 2795391 3313056 3727188 4417408 4969584 5590782 6626112 7454376 8386173 9939168 11181564 13252224 14908752 16772346 19878336 22363128 29817504 33544692 39756672 44726256 59635008 67089384 89452512 119270016 134178768 178905024 268357536 357810048 536715072 1073430144