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379012440 = 23359113467
BaseRepresentation
bin10110100101110…
…100010101011000
3222102011211022210
4112211310111120
51234011344230
6101335315120
712251360352
oct2645642530
9872154283
10379012440
11184a40724
12a6b1baa0
13606a3821
14384a00d2
1523419eb0
hex16974558

379012440 has 64 divisors (see below), whose sum is σ = 1138613760. Its totient is φ = 100929920.

The previous prime is 379012429. The next prime is 379012441. The reversal of 379012440 is 44210973.

It is a happy number.

It is a super-3 number, since 3×3790124403 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 379012398 and 379012407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379012441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107587 + ... + 111053.

It is an arithmetic number, because the mean of its divisors is an integer number (17790840).

Almost surely, 2379012440 is an apocalyptic number.

379012440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

379012440 is an abundant number, since it is smaller than the sum of its proper divisors (759601320).

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

379012440 is a wasteful number, since it uses less digits than its factorization.

379012440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4392 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 379012440 is about 19468.2418312492. The cubic root of 379012440 is about 723.6876393363.

The spelling of 379012440 in words is "three hundred seventy-nine million, twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 911 1822 2733 3467 3644 4555 5466 6934 7288 9110 10401 10932 13665 13868 17335 18220 20802 21864 27330 27736 34670 36440 41604 52005 54660 69340 83208 104010 109320 138680 208020 416040 3158437 6316874 9475311 12633748 15792185 18950622 25267496 31584370 37901244 47376555 63168740 75802488 94753110 126337480 189506220 379012440