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1012383744 = 214343479
BaseRepresentation
bin111100010101111…
…100000000000000
32121112222102102020
4330111330000000
54033132234434
6244242521440
734042056051
oct7425740000
92545872366
101012383744
1147a511989
12243066280
13131984a48
1498652728
155dd2a849
hex3c57c000

1012383744 has 120 divisors (see below), whose sum is σ = 2768156160. Its totient is φ = 328925184.

The previous prime is 1012383733. The next prime is 1012383761. The reversal of 1012383744 is 4473832101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2113297 + ... + 2113775.

It is an arithmetic number, because the mean of its divisors is an integer number (23067968).

Almost surely, 21012383744 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 1012383744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384078080).

1012383744 is an abundant number, since it is smaller than the sum of its proper divisors (1755772416).

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

1012383744 is an frugal number, since it uses more digits than its factorization.

1012383744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1012383744 is about 31817.9783141544. The cubic root of 1012383744 is about 1004.1109912586.

The spelling of 1012383744 in words is "one billion, twelve million, three hundred eighty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 479 512 516 688 768 958 1024 1032 1376 1437 1536 1916 2048 2064 2752 2874 3072 3832 4096 4128 5504 5748 6144 7664 8192 8256 11008 11496 12288 15328 16384 16512 20597 22016 22992 24576 30656 33024 41194 44032 45984 49152 61312 61791 66048 82388 88064 91968 122624 123582 132096 164776 176128 183936 245248 247164 264192 329552 352256 367872 490496 494328 528384 659104 704512 735744 980992 988656 1056768 1318208 1471488 1961984 1977312 2113536 2636416 2942976 3923968 3954624 5272832 5885952 7847936 7909248 10545664 11771904 15818496 21091328 23543808 31636992 42182656 63273984 84365312 126547968 168730624 253095936 337461248 506191872 1012383744