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1000734464 = 284798161
BaseRepresentation
bin111011101001011…
…111111100000000
32120202001120121102
4323221133330000
54022142000324
6243145113532
733541050122
oct7351377400
92522046542
101000734464
11473985684
1223b1888a8
1312c436592
1496c9d212
155ccc8dae
hex3ba5ff00

1000734464 has 36 divisors (see below), whose sum is σ = 2001975360. Its totient is φ = 499261440.

The previous prime is 1000734457. The next prime is 1000734479. The reversal of 1000734464 is 4644370001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 118544 + ... + 126704.

Almost surely, 21000734464 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 1000734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000987680).

1000734464 is an abundant number, since it is smaller than the sum of its proper divisors (1001240896).

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

1000734464 is an frugal number, since it uses more digits than its factorization.

1000734464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8656 (or 8642 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 1000734464 is about 31634.3873656501. The cubic root of 1000734464 is about 1000.2447614203.

The spelling of 1000734464 in words is "one billion, seven hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 479 958 1916 3832 7664 8161 15328 16322 30656 32644 61312 65288 122624 130576 261152 522304 1044608 2089216 3909119 7818238 15636476 31272952 62545904 125091808 250183616 500367232 1000734464