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379448874 = 2313717
BaseRepresentation
bin10110100111011…
…110111000101010
3222110000000000000
4112213132320222
51234114330444
6101352523430
712255155640
oct2647367052
9873000000
10379448874
11185209612
12a70b0576
13607c737c
1438575190
15234a4469
hex169dee2a

379448874 has 112 divisors (see below), whose sum is σ = 1033121088. Its totient is φ = 102036672.

The previous prime is 379448869. The next prime is 379448879. The reversal of 379448874 is 478844973.

379448874 is a `hidden beast` number, since 3 + 7 + 94 + 488 + 74 = 666.

It is an interprime number because it is at equal distance from previous prime (379448869) and next prime (379448879).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 379448874.

It is not an unprimeable number, because it can be changed into a prime (379448879) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 22320514 + ... + 22320530.

Almost surely, 2379448874 is an apocalyptic number.

379448874 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 379448874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516560544).

379448874 is an abundant number, since it is smaller than the sum of its proper divisors (653672214).

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

379448874 is an frugal number, since it uses more digits than its factorization.

379448874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 29 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 379448874 is about 19479.4474767638. The cubic root of 379448874 is about 723.9653089714.

The spelling of 379448874 in words is "three hundred seventy-nine million, four hundred forty-eight thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 243 306 357 378 459 486 567 714 729 918 1071 1134 1377 1458 1701 2142 2187 2754 3213 3402 4131 4374 5103 6426 6561 8262 9639 10206 12393 13122 15309 19278 19683 24786 28917 30618 37179 39366 45927 57834 59049 74358 86751 91854 111537 118098 137781 173502 177147 223074 260253 275562 334611 354294 413343 520506 531441 669222 780759 826686 1003833 1062882 1240029 1561518 1594323 2007666 2342277 2480058 3011499 3188646 3720087 4684554 6022998 7026831 7440174 9034497 11160261 14053662 18068994 21080493 22320522 27103491 42160986 54206982 63241479 126482958 189724437 379448874