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1070794368 = 273271773107
BaseRepresentation
bin111111110100110…
…000011010000000
32202121212222201200
4333310300122000
54143110404433
6254130501200
735351413320
oct7764603200
92677788650
101070794368
114aa487726
1225a734800
13140ac6447
14a22d9280
1564017613
hex3fd30680

1070794368 has 384 divisors, whose sum is σ = 3815061120. Its totient is φ = 281346048.

The previous prime is 1070794367. The next prime is 1070794369. The reversal of 1070794368 is 8634970701.

It is an interprime number because it is at equal distance from previous prime (1070794367) and next prime (1070794369).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10707943682 = 2293201157081038848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070794367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10007371 + ... + 10007477.

It is an arithmetic number, because the mean of its divisors is an integer number (9935055).

Almost surely, 21070794368 is an apocalyptic number.

1070794368 is a gapful number since it is divisible by the number (18) 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 1070794368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907530560).

1070794368 is an abundant number, since it is smaller than the sum of its proper divisors (2744266752).

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

1070794368 is a wasteful number, since it uses less digits than its factorization.

1070794368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1070794368 is about 32722.9944840016. The cubic root of 1070794368 is about 1023.0621703229.

The spelling of 1070794368 in words is "one billion, seventy million, seven hundred ninety-four thousand, three hundred sixty-eight".