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379958070 = 235411072887
BaseRepresentation
bin10110101001011…
…011001100110110
3222110221212111010
4112221123030312
51234232124240
6101411453050
712262406322
oct2651331466
9873855433
10379958070
11185527138
12a72b7186
136094507b
1438668982
1523555280
hex16a5b336

379958070 has 64 divisors (see below), whose sum is σ = 943197696. Its totient is φ = 97893120.

The previous prime is 379958023. The next prime is 379958077. The reversal of 379958070 is 70859973.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379958077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130167 + ... + 133053.

It is an arithmetic number, because the mean of its divisors is an integer number (14737464).

Almost surely, 2379958070 is an apocalyptic number.

379958070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 379958070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471598848).

379958070 is an abundant number, since it is smaller than the sum of its proper divisors (563239626).

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

379958070 is a wasteful number, since it uses less digits than its factorization.

379958070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045.

The product of its (nonzero) digits is 476280, while the sum is 48.

The square root of 379958070 is about 19492.5131781410. The cubic root of 379958070 is about 724.2890025266.

The spelling of 379958070 in words is "three hundred seventy-nine million, nine hundred fifty-eight thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 41 82 107 123 205 214 246 321 410 535 615 642 1070 1230 1605 2887 3210 4387 5774 8661 8774 13161 14435 17322 21935 26322 28870 43305 43870 65805 86610 118367 131610 236734 308909 355101 591835 617818 710202 926727 1183670 1544545 1775505 1853454 3089090 3551010 4633635 9267270 12665269 25330538 37995807 63326345 75991614 126652690 189979035 379958070