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379754116 = 227253139263
BaseRepresentation
bin10110101000101…
…001011010000100
3222110120111201021
4112220221122010
51234204112431
6101403240524
712260566600
oct2650513204
9873514637
10379754116
111853a7985
12a7219144
13608a32a1
1438614500
1523514b11
hex16a29684

379754116 has 72 divisors (see below), whose sum is σ = 796340160. Its totient is φ = 157929408.

The previous prime is 379754107. The next prime is 379754119. The reversal of 379754116 is 611457973.

It is not an unprimeable number, because it can be changed into a prime (379754119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1443801 + ... + 1444063.

It is an arithmetic number, because the mean of its divisors is an integer number (11060280).

Almost surely, 2379754116 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 379754116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398170080).

379754116 is an abundant number, since it is smaller than the sum of its proper divisors (416586044).

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

379754116 is a wasteful number, since it uses less digits than its factorization.

379754116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 464 counting only the distinct ones).

The product of its digits is 158760, while the sum is 43.

The square root of 379754116 is about 19487.2808775365. The cubic root of 379754116 is about 724.1593846466.

The spelling of 379754116 in words is "three hundred seventy-nine million, seven hundred fifty-four thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 53 98 106 139 196 212 263 278 371 526 556 742 973 1052 1484 1841 1946 2597 3682 3892 5194 6811 7364 7367 10388 12887 13622 13939 14734 25774 27244 27878 29468 36557 51548 51569 55756 73114 97573 103138 146228 195146 206276 255899 360983 390292 511798 683011 721966 1023596 1366022 1443932 1791293 1937521 2732044 3582586 3875042 7165172 7750084 13562647 27125294 54250588 94938529 189877058 379754116